1057950720 has 220 divisors, whose sum is σ = 3792583344. Its totient is φ = 282009600.

The previous prime is 1057950689. The next prime is 1057950737. The reversal of 1057950720 is 270597501.

1057950720 is a `hidden beast` number, since 10 + 579 + 5 + 0 + 72 + 0 = 666.

It is a super-2 number, since 2×1057950720² = 2238519451897036800, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 413445 + ... + 415995.

Almost surely, 2^1057950720 is an apocalyptic number.

1057950720 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 1057950720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896291672).

1057950720 is an abundant number, since it is smaller than the sum of its proper divisors (2734632624).

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

1057950720 is an equidigital number, since it uses as much as digits as its factorization.

1057950720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2588 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 1057950720 is about 32526.1543991908. The cubic root of 1057950720 is about 1018.9553318164.

The spelling of 1057950720 in words is "one billion, fifty-seven million, nine hundred fifty thousand, seven hundred twenty".