8257953040 has 40 divisors (see below), whose sum is σ = 19718659800. Its totient is φ = 3213904896.

The previous prime is 8257953023. The next prime is 8257953047. The reversal of 8257953040 is 403597528.

It can be written as a sum of positive squares in 4 ways, for example, as 586995984 + 7670957056 = 24228^2 + 87584^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (8257953047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1391965 + ... + 1397884.

It is an arithmetic number, because the mean of its divisors is an integer number (492966495).

Almost surely, 2^8257953040 is an apocalyptic number.

8257953040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8257953040 is an abundant number, since it is smaller than the sum of its proper divisors (11460706760).

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

8257953040 is a wasteful number, since it uses less digits than its factorization.

8257953040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2789899 (or 2789893 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 43.

The square root of 8257953040 is about 90873.2801212766. The cubic root of 8257953040 is about 2021.2690976103.

The spelling of 8257953040 in words is "eight billion, two hundred fifty-seven million, nine hundred fifty-three thousand, forty".