90860672 has 64 divisors (see below), whose sum is σ = 215913600. Its totient is φ = 37238784.

The previous prime is 90860621. The next prime is 90860687. The reversal of 90860672 is 27606809.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18404 + ... + 22812.

It is an arithmetic number, because the mean of its divisors is an integer number (3373650).

Almost surely, 2^90860672 is an apocalyptic number.

90860672 is a gapful number since it is divisible by the number (92) 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 90860672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107956800).

90860672 is an abundant number, since it is smaller than the sum of its proper divisors (125052928).

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

90860672 is a wasteful number, since it uses less digits than its factorization.

90860672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4453 (or 4441 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 90860672 is about 9532.0864452648. The cubic root of 90860672 is about 449.5644707933.

The spelling of 90860672 in words is "ninety million, eight hundred sixty thousand, six hundred seventy-two".