1026626832 has 240 divisors, whose sum is σ = 3740385600. Its totient is φ = 266595840.

The previous prime is 1026626831. The next prime is 1026626833. The reversal of 1026626832 is 2386266201.

1026626832 is a `hidden beast` number, since 1 + 0 + 26 + 626 + 8 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1026626831) and next prime (1026626833).

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

It is not an unprimeable number, because it can be changed into a prime (1026626831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230644 + ... + 235052.

It is an arithmetic number, because the mean of its divisors is an integer number (15584940).

Almost surely, 2^1026626832 is an apocalyptic number.

1026626832 is a gapful number since it is divisible by the number (12) 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 1026626832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870192800).

1026626832 is an abundant number, since it is smaller than the sum of its proper divisors (2713758768).

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

1026626832 is a wasteful number, since it uses less digits than its factorization.

1026626832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4451 (or 4432 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1026626832 is about 32041.0179613570. The cubic root of 1026626832 is about 1008.7979792273.

The spelling of 1026626832 in words is "one billion, twenty-six million, six hundred twenty-six thousand, eight hundred thirty-two".