367488 has 96 divisors (see below), whose sum is σ = 1193400. Its totient is φ = 107520.

The previous prime is 367469. The next prime is 367501. The reversal of 367488 is 884763.

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

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

367488 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12658 + ... + 12686.

2³⁶⁷⁴⁸⁸ 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 367488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596700).

367488 is an abundant number, since it is smaller than the sum of its proper divisors (825912).

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

367488 is a wasteful number, since it uses less digits than its factorization.

367488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 45 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 367488 is about 606.2078851351. The cubic root of 367488 is about 71.6277079283.

The spelling of 367488 in words is "three hundred sixty-seven thousand, four hundred eighty-eight".