1057723920 has 600 divisors, whose sum is σ = 4310349120. Its totient is φ = 239500800.

The previous prime is 1057723889. The next prime is 1057723943. The reversal of 1057723920 is 293277501.

It is a super-2 number, since 2×1057723920² = 2237559781880332800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14897485 + ... + 14897555.

Almost surely, 2^1057723920 is an apocalyptic number.

1057723920 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 1057723920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155174560).

1057723920 is an abundant number, since it is smaller than the sum of its proper divisors (3252625200).

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

1057723920 is a wasteful number, since it uses less digits than its factorization.

1057723920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 1057723920 is about 32522.6677872526. The cubic root of 1057723920 is about 1018.8825131803.

The spelling of 1057723920 in words is "one billion, fifty-seven million, seven hundred twenty-three thousand, nine hundred twenty".