36426960 has 60 divisors (see below), whose sum is σ = 122336292. Its totient is φ = 9713664.

The previous prime is 36426941. The next prime is 36426961. The reversal of 36426960 is 6962463.

36426960 is a `hidden beast` number, since 3 + 642 + 6 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15303744 + 21123216 = 3912^2 + 4596^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 (36426961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24577 + ... + 26016.

Almost surely, 2^36426960 is an apocalyptic number.

36426960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36426960 is an abundant number, since it is smaller than the sum of its proper divisors (85909332).

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

36426960 is a wasteful number, since it uses less digits than its factorization.

36426960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50612 (or 50603 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 36426960 is about 6035.4751262846. The cubic root of 36426960 is about 331.4929600001.

The spelling of 36426960 in words is "thirty-six million, four hundred twenty-six thousand, nine hundred sixty".