362640 has 40 divisors (see below), whose sum is σ = 1124928. Its totient is φ = 96640.

The previous prime is 362633. The next prime is 362657. The reversal of 362640 is 46263.

It is a tau number, because it is divible by the number of its divisors (40).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 362640.

It is an unprimeable number.

362640 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 7 ways as a sum of consecutive naturals, for example, 516 + ... + 995.

2³⁶²⁶⁴⁰ is an apocalyptic number.

362640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

362640 is an abundant number, since it is smaller than the sum of its proper divisors (762288).

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

362640 is a wasteful number, since it uses less digits than its factorization.

362640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 362640 is about 602.1959813881. The cubic root of 362640 is about 71.3113353040.

The spelling of 362640 in words is "three hundred sixty-two thousand, six hundred forty".