1057672392 has 128 divisors (see below), whose sum is σ = 3212851200. Its totient is φ = 283419648.

The previous prime is 1057672379. The next prime is 1057672393. The reversal of 1057672392 is 2932767501.

1057672392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1057672392² = 2237341777598003328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1057672393) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327168 + ... + 330384.

It is an arithmetic number, because the mean of its divisors is an integer number (25100400).

Almost surely, 2^1057672392 is an apocalyptic number.

1057672392 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 1057672392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606425600).

1057672392 is an abundant number, since it is smaller than the sum of its proper divisors (2155178808).

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

1057672392 is a wasteful number, since it uses less digits than its factorization.

1057672392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3355 (or 3351 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 1057672392 is about 32521.8755916691. The cubic root of 1057672392 is about 1018.8659676434.

The spelling of 1057672392 in words is "one billion, fifty-seven million, six hundred seventy-two thousand, three hundred ninety-two".