1056824496 has 480 divisors, whose sum is σ = 3943080960. Its totient is φ = 266499072.

The previous prime is 1056824471. The next prime is 1056824519. The reversal of 1056824496 is 6944286501.

It is a super-2 number, since 2×1056824496² = 2233756030691308032, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10260381 + ... + 10260483.

It is an arithmetic number, because the mean of its divisors is an integer number (8214752).

Almost surely, 2^1056824496 is an apocalyptic number.

1056824496 is a gapful number since it is divisible by the number (16) 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 1056824496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971540480).

1056824496 is an abundant number, since it is smaller than the sum of its proper divisors (2886256464).

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

1056824496 is a wasteful number, since it uses less digits than its factorization.

1056824496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 1056824496 is about 32508.8371985219. The cubic root of 1056824496 is about 1018.5936327383.

The spelling of 1056824496 in words is "one billion, fifty-six million, eight hundred twenty-four thousand, four hundred ninety-six".