36468960 has 96 divisors (see below), whose sum is σ = 125338752. Its totient is φ = 8839680.

The previous prime is 36468953. The next prime is 36468973. The reversal of 36468960 is 6986463.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 1827 + ... + 8733.

It is an arithmetic number, because the mean of its divisors is an integer number (1305612).

Almost surely, 2^36468960 is an apocalyptic number.

36468960 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 36468960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62669376).

36468960 is an abundant number, since it is smaller than the sum of its proper divisors (88869792).

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

36468960 is a wasteful number, since it uses less digits than its factorization.

36468960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6936 (or 6928 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 36468960 is about 6038.9535517339. The cubic root of 36468960 is about 331.6203139967.

It can be divided in two parts, 36 and 468960, that added together give a triangular number (468996 = T₉₆₈).

The spelling of 36468960 in words is "thirty-six million, four hundred sixty-eight thousand, nine hundred sixty".