36960448 has 112 divisors (see below), whose sum is σ = 93049344. Its totient is φ = 14192640.

The previous prime is 36960439. The next prime is 36960461. The reversal of 36960448 is 84406963.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 36960448.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175063 + ... + 175273.

Almost surely, 2^36960448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36960448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46524672).

36960448 is an abundant number, since it is smaller than the sum of its proper divisors (56088896).

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

36960448 is a wasteful number, since it uses less digits than its factorization.

36960448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 36960448 is about 6079.5105066115. The cubic root of 36960448 is about 333.1034076612.

The spelling of 36960448 in words is "thirty-six million, nine hundred sixty thousand, four hundred forty-eight".