36525960 has 96 divisors (see below), whose sum is σ = 119485080. Its totient is φ = 9676800.

The previous prime is 36525959. The next prime is 36525971. The reversal of 36525960 is 6952563.

36525960 is a `hidden beast` number, since 3 + 65 + 2 + 596 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21734244 + 14791716 = 4662^2 + 3846^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86550 + ... + 86970.

Almost surely, 2^36525960 is an apocalyptic number.

36525960 is a gapful number since it is divisible by the number (30) 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 36525960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59742540).

36525960 is an abundant number, since it is smaller than the sum of its proper divisors (82959120).

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

36525960 is a wasteful number, since it uses less digits than its factorization.

36525960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 36525960 is about 6043.6710698052. The cubic root of 36525960 is about 331.7929952621.

The spelling of 36525960 in words is "thirty-six million, five hundred twenty-five thousand, nine hundred sixty".