90651680 has 96 divisors (see below), whose sum is σ = 253290240. Its totient is φ = 29998080.

The previous prime is 90651653. The next prime is 90651689. The reversal of 90651680 is 8615609.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 90651680.

It is not an unprimeable number, because it can be changed into a prime (90651689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31085 + ... + 33875.

It is an arithmetic number, because the mean of its divisors is an integer number (2638440).

Almost surely, 2^90651680 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 90651680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126645120).

90651680 is an abundant number, since it is smaller than the sum of its proper divisors (162638560).

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

90651680 is a wasteful number, since it uses less digits than its factorization.

90651680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842 (or 2834 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 90651680 is about 9521.1175814607. The cubic root of 90651680 is about 449.2195195445.

The spelling of 90651680 in words is "ninety million, six hundred fifty-one thousand, six hundred eighty".