1057904640 has 288 divisors, whose sum is σ = 3953018160. Its totient is φ = 260112384.

The previous prime is 1057904621. The next prime is 1057904647. The reversal of 1057904640 is 464097501.

1057904640 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 9 + 0 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1057904640² = 2238324454667059200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1057904595 and 1057904604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057904647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1197639 + ... + 1198521.

Almost surely, 2^1057904640 is an apocalyptic number.

1057904640 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 1057904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1976509080).

1057904640 is an abundant number, since it is smaller than the sum of its proper divisors (2895113520).

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

1057904640 is a wasteful number, since it uses less digits than its factorization.

1057904640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1057904640 is about 32525.4460384481. The cubic root of 1057904640 is about 1018.9405377614.

The spelling of 1057904640 in words is "one billion, fifty-seven million, nine hundred four thousand, six hundred forty".