82090368 has 64 divisors (see below), whose sum is σ = 242290800. Its totient is φ = 27362304.

The previous prime is 82090361. The next prime is 82090391. The reversal of 82090368 is 86309028.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82090361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8421 + ... + 15332.

Almost surely, 2^82090368 is an apocalyptic number.

It is an amenable number.

82090368 is an abundant number, since it is smaller than the sum of its proper divisors (160200432).

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

82090368 is a wasteful number, since it uses less digits than its factorization.

82090368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23776 (or 23758 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 82090368 is about 9060.3735022349. The cubic root of 82090368 is about 434.6076843366.

The spelling of 82090368 in words is "eighty-two million, ninety thousand, three hundred sixty-eight".