1057085424 has 160 divisors (see below), whose sum is σ = 3123282240. Its totient is φ = 342171648.

The previous prime is 1057085423. The next prime is 1057085429. The reversal of 1057085424 is 4245807501.

1057085424 is a `hidden beast` number, since 1 + 0 + 570 + 85 + 4 + 2 + 4 = 666.

It is a super-2 number, since 2×1057085424² = 2234859187266519552, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057085423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3136584 + ... + 3136920.

It is an arithmetic number, because the mean of its divisors is an integer number (19520514).

Almost surely, 2^1057085424 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 1057085424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561641120).

1057085424 is an abundant number, since it is smaller than the sum of its proper divisors (2066196816).

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

1057085424 is a wasteful number, since it uses less digits than its factorization.

1057085424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 1057085424 is about 32512.8501365229. The cubic root of 1057085424 is about 1018.6774554638.

The spelling of 1057085424 in words is "one billion, fifty-seven million, eighty-five thousand, four hundred twenty-four".