1052570640 has 320 divisors, whose sum is σ = 3856896000. Its totient is φ = 234577920.

The previous prime is 1052570639. The next prime is 1052570647. The reversal of 1052570640 is 460752501.

It is a super-2 number, since 2×1052570640² = 2215809904380019200, 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 = 1052570598 and 1052570607.

It is not an unprimeable number, because it can be changed into a prime (1052570647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2109111 + ... + 2109609.

It is an arithmetic number, because the mean of its divisors is an integer number (12052800).

Almost surely, 2^1052570640 is an apocalyptic number.

1052570640 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 1052570640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1928448000).

1052570640 is an abundant number, since it is smaller than the sum of its proper divisors (2804325360).

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

1052570640 is a wasteful number, since it uses less digits than its factorization.

1052570640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 584 counting only the distinct ones).

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

The square root of 1052570640 is about 32443.3450803088. The cubic root of 1052570640 is about 1017.2251377009.

The spelling of 1052570640 in words is "one billion, fifty-two million, five hundred seventy thousand, six hundred forty".