1057840064 has 56 divisors (see below), whose sum is σ = 2177722848. Its totient is φ = 509414400.

The previous prime is 1057840039. The next prime is 1057840093. The reversal of 1057840064 is 4600487501.

It is a super-2 number, since 2×1057840064² = 2238051202007048192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 236957 + ... + 241379.

It is an arithmetic number, because the mean of its divisors is an integer number (38887908).

Almost surely, 2^1057840064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057840064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088861424).

1057840064 is an abundant number, since it is smaller than the sum of its proper divisors (1119882784).

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

1057840064 is a wasteful number, since it uses less digits than its factorization.

1057840064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4573 (or 4563 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 1057840064 is about 32524.4533236148. The cubic root of 1057840064 is about 1018.9198048142.

The spelling of 1057840064 in words is "one billion, fifty-seven million, eight hundred forty thousand, sixty-four".