1024056880 has 360 divisors, whose sum is σ = 3248792064. Its totient is φ = 298045440.

The previous prime is 1024056871. The next prime is 1024056919. The reversal of 1024056880 is 886504201.

1024056880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8063377 + ... + 8063503.

Almost surely, 2^1024056880 is an apocalyptic number.

1024056880 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 1024056880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624396032).

1024056880 is an abundant number, since it is smaller than the sum of its proper divisors (2224735184).

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

1024056880 is a wasteful number, since it uses less digits than its factorization.

1024056880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 1024056880 is about 32000.8887376585. Note that the first 3 decimals coincide. The cubic root of 1024056880 is about 1007.9555021509.

The spelling of 1024056880 in words is "one billion, twenty-four million, fifty-six thousand, eight hundred eighty".