36668520 has 96 divisors (see below), whose sum is σ = 136206720. Its totient is φ = 8380800.

The previous prime is 36668519. The next prime is 36668521. The reversal of 36668520 is 2586663.

It is an interprime number because it is at equal distance from previous prime (36668519) and next prime (36668521).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36668521) 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 23 ways as a sum of consecutive naturals, for example, 4756 + ... + 9795.

It is an arithmetic number, because the mean of its divisors is an integer number (1418820).

Almost surely, 2^36668520 is an apocalyptic number.

36668520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36668520 is an abundant number, since it is smaller than the sum of its proper divisors (99538200).

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

36668520 is a wasteful number, since it uses less digits than its factorization.

36668520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14575 (or 14568 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 36668520 is about 6055.4537402246. The cubic root of 36668520 is about 332.2240950882.

It can be divided in two parts, 366 and 68520, that added together give a palindrome (68886).

The spelling of 36668520 in words is "thirty-six million, six hundred sixty-eight thousand, five hundred twenty".