36887364 has 36 divisors (see below), whose sum is σ = 95007276. Its totient is φ = 12063168.

The previous prime is 36887359. The next prime is 36887369. The reversal of 36887364 is 46378863.

It is an interprime number because it is at equal distance from previous prime (36887359) and next prime (36887369).

It can be written as a sum of positive squares in 2 ways, for example, as 31270464 + 5616900 = 5592^2 + 2370^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (36887369) 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, 7759 + ... + 11574.

It is an arithmetic number, because the mean of its divisors is an integer number (2639091).

Almost surely, 2^36887364 is an apocalyptic number.

It is an amenable number.

36887364 is an abundant number, since it is smaller than the sum of its proper divisors (58119912).

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

36887364 is a wasteful number, since it uses less digits than its factorization.

36887364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19396 (or 19391 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 36887364 is about 6073.4968510735. The cubic root of 36887364 is about 332.8837080061.

It can be divided in two parts, 36 and 887364, that multiplied together give a square (31945104 = 5652²).

The spelling of 36887364 in words is "thirty-six million, eight hundred eighty-seven thousand, three hundred sixty-four".