362865960 has 128 divisors (see below), whose sum is σ = 1225152000. Its totient is φ = 95516928.

The previous prime is 362865941. The next prime is 362865961. The reversal of 362865960 is 69568263.

It is a happy number.

362865960 is a `hidden beast` number, since 36 + 28 + 6 + 596 + 0 = 666.

It is a super-3 number, since 3×362865960³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (362865961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83194 + ... + 87446.

It is an arithmetic number, because the mean of its divisors is an integer number (9571500).

Almost surely, 2^362865960 is an apocalyptic number.

362865960 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 362865960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612576000).

362865960 is an abundant number, since it is smaller than the sum of its proper divisors (862286040).

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

362865960 is a wasteful number, since it uses less digits than its factorization.

362865960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4352 (or 4342 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 362865960 is about 19049.0409207393. The cubic root of 362865960 is about 713.2614352861.

The spelling of 362865960 in words is "three hundred sixty-two million, eight hundred sixty-five thousand, nine hundred sixty".