36402564 has 48 divisors (see below), whose sum is σ = 93171456. Its totient is φ = 10970400.

The previous prime is 36402551. The next prime is 36402589. The reversal of 36402564 is 46520463.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27199 + ... + 28505.

It is an arithmetic number, because the mean of its divisors is an integer number (1941072).

Almost surely, 2^36402564 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 36402564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46585728).

36402564 is an abundant number, since it is smaller than the sum of its proper divisors (56768892).

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

36402564 is a wasteful number, since it uses less digits than its factorization.

36402564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 36402564 is about 6033.4537372885. The cubic root of 36402564 is about 331.4189405715.

The spelling of 36402564 in words is "thirty-six million, four hundred two thousand, five hundred sixty-four".