1057650240 has 224 divisors, whose sum is σ = 3583716480. Its totient is φ = 263356416.

The previous prime is 1057650233. The next prime is 1057650263. The reversal of 1057650240 is 420567501.

It is a super-2 number, since 2×1057650240² = 2237248060344115200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1057650198 and 1057650207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3737139 + ... + 3737421.

Almost surely, 2^1057650240 is an apocalyptic number.

1057650240 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 1057650240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791858240).

1057650240 is an abundant number, since it is smaller than the sum of its proper divisors (2526066240).

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

1057650240 is a wasteful number, since it uses less digits than its factorization.

1057650240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 1057650240 is about 32521.5350191223. The cubic root of 1057650240 is about 1018.8588545156.

The spelling of 1057650240 in words is "one billion, fifty-seven million, six hundred fifty thousand, two hundred forty".