90626688 has 80 divisors (see below), whose sum is σ = 269734410. Its totient is φ = 30205440.

The previous prime is 90626639. The next prime is 90626689. The reversal of 90626688 is 88662609.

It can be written as a sum of positive squares in only one way, i.e., 86266944 + 4359744 = 9288^2 + 2088^2 .

It is not an unprimeable number, because it can be changed into a prime (90626689) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5998 + ... + 14738.

Almost surely, 2^90626688 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 90626688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134867205).

90626688 is an abundant number, since it is smaller than the sum of its proper divisors (179107722).

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

90626688 is an equidigital number, since it uses as much as digits as its factorization.

90626688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8767 (or 8746 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 90626688 is about 9519.8050400205. The cubic root of 90626688 is about 449.1782335800.

The spelling of 90626688 in words is "ninety million, six hundred twenty-six thousand, six hundred eighty-eight".