1057646240 has 96 divisors (see below), whose sum is σ = 2954206080. Its totient is φ = 350106624.

The previous prime is 1057646231. The next prime is 1057646257. The reversal of 1057646240 is 426467501.

It is a super-2 number, since 2×1057646240² = 2237231137972275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1057646240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16199 + ... + 48761.

It is an arithmetic number, because the mean of its divisors is an integer number (30772980).

Almost surely, 2^1057646240 is an apocalyptic number.

1057646240 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 1057646240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477103040).

1057646240 is an abundant number, since it is smaller than the sum of its proper divisors (1896559840).

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

1057646240 is a wasteful number, since it uses less digits than its factorization.

1057646240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32614 (or 32606 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 1057646240 is about 32521.4735213520. The cubic root of 1057646240 is about 1018.8575700833.

The spelling of 1057646240 in words is "one billion, fifty-seven million, six hundred forty-six thousand, two hundred forty".