90438660 has 144 divisors (see below), whose sum is σ = 304980480. Its totient is φ = 22239360.

The previous prime is 90438643. The next prime is 90438707. The reversal of 90438660 is 6683409.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 90765 + ... + 91755.

It is an arithmetic number, because the mean of its divisors is an integer number (2117920).

Almost surely, 2^90438660 is an apocalyptic number.

90438660 is a gapful number since it is divisible by the number (90) 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 90438660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152490240).

90438660 is an abundant number, since it is smaller than the sum of its proper divisors (214541820).

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

90438660 is a wasteful number, since it uses less digits than its factorization.

90438660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 90438660 is about 9509.9242899195. The cubic root of 90438660 is about 448.8673738540.

The spelling of 90438660 in words is "ninety million, four hundred thirty-eight thousand, six hundred sixty".