1052780832 has 144 divisors (see below), whose sum is σ = 3174941952. Its totient is φ = 330324480.

The previous prime is 1052780791. The next prime is 1052780887. The reversal of 1052780832 is 2380872501.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1052780832² = 2216694960453224448, 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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328743 + ... + 331929.

It is an arithmetic number, because the mean of its divisors is an integer number (22048208).

Almost surely, 2^1052780832 is an apocalyptic number.

1052780832 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 1052780832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587470976).

1052780832 is an abundant number, since it is smaller than the sum of its proper divisors (2122161120).

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

1052780832 is a wasteful number, since it uses less digits than its factorization.

1052780832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3271 (or 3260 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1052780832 is about 32446.5842886428. The cubic root of 1052780832 is about 1017.2928444331.

The spelling of 1052780832 in words is "one billion, fifty-two million, seven hundred eighty thousand, eight hundred thirty-two".