90164880 has 320 divisors, whose sum is σ = 354144000. Its totient is φ = 21026304.

The previous prime is 90164873. The next prime is 90164887. The reversal of 90164880 is 8846109.

It is a happy number.

90164880 is a `hidden beast` number, since 9 + 0 + 1 + 648 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (90164873) and next prime (90164887).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90164887) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4745511 + ... + 4745529.

It is an arithmetic number, because the mean of its divisors is an integer number (1106700).

Almost surely, 2^90164880 is an apocalyptic number.

90164880 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 90164880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177072000).

90164880 is an abundant number, since it is smaller than the sum of its proper divisors (263979120).

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

90164880 is a wasteful number, since it uses less digits than its factorization.

90164880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 90164880 is about 9495.5189431647. The cubic root of 90164880 is about 448.4139721577.

The spelling of 90164880 in words is "ninety million, one hundred sixty-four thousand, eight hundred eighty".