36525888 has 84 divisors (see below), whose sum is σ = 119664480. Its totient is φ = 10434816.

The previous prime is 36525883. The next prime is 36525899. The reversal of 36525888 is 88852563.

It is a happy number.

36525888 is a `hidden beast` number, since 3 + 65 + 2 + 588 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36525883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 498 + ... + 8561.

Almost surely, 2^36525888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36525888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59832240).

36525888 is an abundant number, since it is smaller than the sum of its proper divisors (83138592).

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

36525888 is a wasteful number, since it uses less digits than its factorization.

36525888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9084 (or 9071 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 36525888 is about 6043.6651131577. The cubic root of 36525888 is about 331.7927772518.

The spelling of 36525888 in words is "thirty-six million, five hundred twenty-five thousand, eight hundred eighty-eight".