1078564032 has 448 divisors, whose sum is σ = 4119270400. Its totient is φ = 269485056.

The previous prime is 1078564009. The next prime is 1078564043. The reversal of 1078564032 is 2304658701.

1078564032 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 5 + 640 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×1078564032² = 2326600742248194048, 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56766519 + ... + 56766537.

It is an arithmetic number, because the mean of its divisors is an integer number (9194800).

Almost surely, 2^1078564032 is an apocalyptic number.

1078564032 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 1078564032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059635200).

1078564032 is an abundant number, since it is smaller than the sum of its proper divisors (3040706368).

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

1078564032 is an equidigital number, since it uses as much as digits as its factorization.

1078564032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1078564032 is about 32841.4986259763. The cubic root of 1078564032 is about 1025.5306495228.

The spelling of 1078564032 in words is "one billion, seventy-eight million, five hundred sixty-four thousand, thirty-two".