36437120 has 96 divisors (see below), whose sum is σ = 93002580. Its totient is φ = 13647872.

The previous prime is 36437113. The next prime is 36437123. The reversal of 36437120 is 2173463.

It can be written as a sum of positive squares in 6 ways, for example, as 34386496 + 2050624 = 5864^2 + 1432^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 36437120.

It is not an unprimeable number, because it can be changed into a prime (36437123) 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, 184862 + ... + 185058.

Almost surely, 2^36437120 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 36437120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46501290).

36437120 is an abundant number, since it is smaller than the sum of its proper divisors (56565460).

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

36437120 is a wasteful number, since it uses less digits than its factorization.

36437120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 36437120 is about 6036.3167577588. The cubic root of 36437120 is about 331.5237765107.

The spelling of 36437120 in words is "thirty-six million, four hundred thirty-seven thousand, one hundred twenty".