90979680 has 96 divisors (see below), whose sum is σ = 312657408. Its totient is φ = 22054400.

The previous prime is 90979673. The next prime is 90979687. The reversal of 90979680 is 8697909.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (90979673) and next prime (90979687).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90979687) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3336 + ... + 13895.

It is an arithmetic number, because the mean of its divisors is an integer number (3256848).

Almost surely, 2^90979680 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 90979680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156328704).

90979680 is an abundant number, since it is smaller than the sum of its proper divisors (221677728).

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

90979680 is a wasteful number, since it uses less digits than its factorization.

90979680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17260 (or 17252 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 48.

The square root of 90979680 is about 9538.3268973128. The cubic root of 90979680 is about 449.7606628521.

The spelling of 90979680 in words is "ninety million, nine hundred seventy-nine thousand, six hundred eighty".