90761680 has 80 divisors (see below), whose sum is σ = 222735744. Its totient is φ = 34327040.

The previous prime is 90761621. The next prime is 90761681. The reversal of 90761680 is 8616709.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90761681) 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, 196650 + ... + 197110.

Almost surely, 2^90761680 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 90761680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111367872).

90761680 is an abundant number, since it is smaller than the sum of its proper divisors (131974064).

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

90761680 is a wasteful number, since it uses less digits than its factorization.

90761680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 90761680 is about 9526.8924629178. The cubic root of 90761680 is about 449.4011457929.

The spelling of 90761680 in words is "ninety million, seven hundred sixty-one thousand, six hundred eighty".