36480960 has 168 divisors, whose sum is σ = 128381760. Its totient is φ = 9504768.

The previous prime is 36480959. The next prime is 36480971. The reversal of 36480960 is 6908463.

36480960 is a `hidden beast` number, since 3 + 648 + 0 + 9 + 6 + 0 = 666.

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

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 23 ways as a sum of consecutive naturals, for example, 152521 + ... + 152759.

Almost surely, 2^36480960 is an apocalyptic number.

36480960 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 36480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64190880).

36480960 is an abundant number, since it is smaller than the sum of its proper divisors (91900800).

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

36480960 is a wasteful number, since it uses less digits than its factorization.

36480960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 36480960 is about 6039.9470196352. The cubic root of 36480960 is about 331.6566828921.

The spelling of 36480960 in words is "thirty-six million, four hundred eighty thousand, nine hundred sixty".