1057920000 has 440 divisors, whose sum is σ = 3836896800. Its totient is φ = 258048000.

The previous prime is 1057919999. The next prime is 1057920001. The reversal of 1057920000 is 297501.

It is an interprime number because it is at equal distance from previous prime (1057919999) and next prime (1057920001).

It is a super-2 number, since 2×1057920000² = 2238389452800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057920001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36479986 + ... + 36480014.

It is an arithmetic number, because the mean of its divisors is an integer number (8720220).

Almost surely, 2^1057920000 is an apocalyptic number.

1057920000 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 1057920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918448400).

1057920000 is an abundant number, since it is smaller than the sum of its proper divisors (2778976800).

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

1057920000 is an equidigital number, since it uses as much as digits as its factorization.

1057920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 1057920000 is about 32525.6821604098. The cubic root of 1057920000 is about 1018.9454691608.

The spelling of 1057920000 in words is "one billion, fifty-seven million, nine hundred twenty thousand".