1052932608 has 560 divisors, whose sum is σ = 4007410176. Its totient is φ = 268738560.

The previous prime is 1052932561. The next prime is 1052932649. The reversal of 1052932608 is 8062392501.

1052932608 is a `hidden beast` number, since 10 + 5 + 2 + 9 + 32 + 608 = 666.

It is a super-2 number, since 2×1052932608² = 2217334153979363328, which contains 22 as substring.

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

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 55 ways as a sum of consecutive naturals, for example, 33965553 + ... + 33965583.

Almost surely, 2^1052932608 is an apocalyptic number.

1052932608 is a gapful number since it is divisible by the number (18) 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 1052932608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003705088).

1052932608 is an abundant number, since it is smaller than the sum of its proper divisors (2954477568).

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

1052932608 is an frugal number, since it uses more digits than its factorization.

1052932608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1052932608 is about 32448.9230637937. The cubic root of 1052932608 is about 1017.3417286880.

The spelling of 1052932608 in words is "one billion, fifty-two million, nine hundred thirty-two thousand, six hundred eight".