1020867840 has 288 divisors, whose sum is σ = 3669388800. Its totient is φ = 268738560.

The previous prime is 1020867823. The next prime is 1020867907. The reversal of 1020867840 is 487680201.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1020867840² = 2084342293492531200, which contains 22 as substring.

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 = 1020867795 and 1020867804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3766905 + ... + 3767175.

Almost surely, 2^1020867840 is an apocalyptic number.

1020867840 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 1020867840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834694400).

1020867840 is an abundant number, since it is smaller than the sum of its proper divisors (2648520960).

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

1020867840 is a wasteful number, since it uses less digits than its factorization.

1020867840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1020867840 is about 31951.0225188491. The cubic root of 1020867840 is about 1006.9081147278.

The spelling of 1020867840 in words is "one billion, twenty million, eight hundred sixty-seven thousand, eight hundred forty".