36562400 has 72 divisors (see below), whose sum is σ = 102024720. Its totient is φ = 12533760.

The previous prime is 36562399. The next prime is 36562429. The reversal of 36562400 is 426563.

36562400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 36562400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2336 + ... + 8864.

It is an arithmetic number, because the mean of its divisors is an integer number (1417010).

Almost surely, 2^36562400 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 36562400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51012360).

36562400 is an abundant number, since it is smaller than the sum of its proper divisors (65462320).

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

36562400 is a wasteful number, since it uses less digits than its factorization.

36562400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6556 (or 6543 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 36562400 is about 6046.6850422360. The cubic root of 36562400 is about 331.9032959750.

Adding to 36562400 its reverse (426563), we get a palindrome (36988963).

The spelling of 36562400 in words is "thirty-six million, five hundred sixty-two thousand, four hundred".