1026372560 has 40 divisors (see below), whose sum is σ = 2431351080. Its totient is φ = 402801152.

The previous prime is 1026372527. The next prime is 1026372577. The reversal of 1026372560 is 652736201.

It can be written as a sum of positive squares in 4 ways, for example, as 411927616 + 614444944 = 20296^2 + 24788^2 .

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

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, 116795 + ... + 125274.

It is an arithmetic number, because the mean of its divisors is an integer number (60783777).

Almost surely, 2^1026372560 is an apocalyptic number.

1026372560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1026372560 is an abundant number, since it is smaller than the sum of its proper divisors (1404978520).

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

1026372560 is a wasteful number, since it uses less digits than its factorization.

1026372560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242135 (or 242129 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 1026372560 is about 32037.0498017530. The cubic root of 1026372560 is about 1008.7146869502.

The spelling of 1026372560 in words is "one billion, twenty-six million, three hundred seventy-two thousand, five hundred sixty".