1057144960 has 64 divisors (see below), whose sum is σ = 2544206400. Its totient is φ = 420019200.

The previous prime is 1057144931. The next prime is 1057144969. The reversal of 1057144960 is 694417501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1057144960² = 2235110932906803200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057144969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91171 + ... + 102109.

It is an arithmetic number, because the mean of its divisors is an integer number (39753225).

Almost surely, 2^1057144960 is an apocalyptic number.

1057144960 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 1057144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272103200).

1057144960 is an abundant number, since it is smaller than the sum of its proper divisors (1487061440).

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

1057144960 is a wasteful number, since it uses less digits than its factorization.

1057144960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11109 (or 11097 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 1057144960 is about 32513.7657000846. The cubic root of 1057144960 is about 1018.6965793811.

The spelling of 1057144960 in words is "one billion, fifty-seven million, one hundred forty-four thousand, nine hundred sixty".