362142080 has 64 divisors (see below), whose sum is σ = 868611600. Its totient is φ = 144377856.

The previous prime is 362142049. The next prime is 362142113. The reversal of 362142080 is 80241263.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×362142080² = 262293772213452800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241814 + ... + 243306.

Almost surely, 2^362142080 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 362142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434305800).

362142080 is an abundant number, since it is smaller than the sum of its proper divisors (506469520).

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

362142080 is a wasteful number, since it uses less digits than its factorization.

362142080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 362142080 is about 19030.0310036531. The cubic root of 362142080 is about 712.7868253219.

The spelling of 362142080 in words is "three hundred sixty-two million, one hundred forty-two thousand, eighty".