36618960 has 160 divisors (see below), whose sum is σ = 131991552. Its totient is φ = 8225280.

The previous prime is 36618943. The next prime is 36618973. The reversal of 36618960 is 6981663.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 119127 + ... + 119433.

Almost surely, 2^36618960 is an apocalyptic number.

36618960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36618960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65995776).

36618960 is an abundant number, since it is smaller than the sum of its proper divisors (95372592).

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

36618960 is a wasteful number, since it uses less digits than its factorization.

36618960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 36618960 is about 6051.3601776791. The cubic root of 36618960 is about 332.0743531152.

It can be divided in two parts, 3661 and 8960, that added together give a palindrome (12621).

The spelling of 36618960 in words is "thirty-six million, six hundred eighteen thousand, nine hundred sixty".