90839672 has 128 divisors (see below), whose sum is σ = 225607680. Its totient is φ = 33264000.

The previous prime is 90839659. The next prime is 90839681. The reversal of 90839672 is 27693809.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 31 ways as a sum of consecutive naturals, for example, 1279397 + ... + 1279467.

It is an arithmetic number, because the mean of its divisors is an integer number (1762560).

Almost surely, 2^90839672 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 90839672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112803840).

90839672 is an abundant number, since it is smaller than the sum of its proper divisors (134768008).

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

90839672 is a wasteful number, since it uses less digits than its factorization.

90839672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 44.

The square root of 90839672 is about 9530.9848389345. The cubic root of 90839672 is about 449.5298332136.

The spelling of 90839672 in words is "ninety million, eight hundred thirty-nine thousand, six hundred seventy-two".