1026876240 has 240 divisors, whose sum is σ = 3834754560. Its totient is φ = 244546560.

The previous prime is 1026876229. The next prime is 1026876251. The reversal of 1026876240 is 426786201.

1026876240 is a `hidden beast` number, since 1 + 0 + 26 + 8 + 7 + 624 + 0 = 666.

1026876240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1026876229) and next prime (1026876251).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1026876195 and 1026876204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288391 + ... + 291929.

It is an arithmetic number, because the mean of its divisors is an integer number (15978144).

Almost surely, 2^1026876240 is an apocalyptic number.

1026876240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1026876240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917377280).

1026876240 is an abundant number, since it is smaller than the sum of its proper divisors (2807878320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1026876240 is a wasteful number, since it uses less digits than its factorization.

1026876240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3602 (or 3593 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1026876240 is about 32044.9097361812. The cubic root of 1026876240 is about 1008.8796648365.

The spelling of 1026876240 in words is "one billion, twenty-six million, eight hundred seventy-six thousand, two hundred forty".