90038676 has 72 divisors (see below), whose sum is σ = 263212320. Its totient is φ = 23744448.

The previous prime is 90038657. The next prime is 90038677. The reversal of 90038676 is 67683009.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90038677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1755 + ... + 13533.

Almost surely, 2^90038676 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 90038676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131606160).

90038676 is an abundant number, since it is smaller than the sum of its proper divisors (173173644).

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

90038676 is a wasteful number, since it uses less digits than its factorization.

90038676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11813 (or 11804 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 90038676 is about 9488.8711657394. The cubic root of 90038676 is about 448.2046590959.

The spelling of 90038676 in words is "ninety million, thirty-eight thousand, six hundred seventy-six".