1057261824 has 108 divisors (see below), whose sum is σ = 3227780556. Its totient is φ = 331677696.

The previous prime is 1057261813. The next prime is 1057261853. The reversal of 1057261824 is 4281627501.

1057261824 is a `hidden beast` number, since 1 + 0 + 572 + 6 + 1 + 82 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 385415424 + 671846400 = 19632^2 + 25920^2 .

It is a super-2 number, since 2×1057261824² = 2235605128975613952, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25672 + ... + 52664.

It is an arithmetic number, because the mean of its divisors is an integer number (29886857).

Almost surely, 2^1057261824 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 1057261824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613890278).

1057261824 is an abundant number, since it is smaller than the sum of its proper divisors (2170518732).

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

1057261824 is a wasteful number, since it uses less digits than its factorization.

1057261824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27032 (or 27015 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1057261824 is about 32515.5627969131. The cubic root of 1057261824 is about 1018.7341158827.

The spelling of 1057261824 in words is "one billion, fifty-seven million, two hundred sixty-one thousand, eight hundred twenty-four".