90554880 has 160 divisors (see below), whose sum is σ = 312105024. Its totient is φ = 22265856.

The previous prime is 90554857. The next prime is 90554881. The reversal of 90554880 is 8845509.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (90554881) 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, 99387 + ... + 100293.

Almost surely, 2^90554880 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 90554880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156052512).

90554880 is an abundant number, since it is smaller than the sum of its proper divisors (221550144).

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

90554880 is a wasteful number, since it uses less digits than its factorization.

90554880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 90554880 is about 9516.0327868288. The cubic root of 90554880 is about 449.0595668678.

The spelling of 90554880 in words is "ninety million, five hundred fifty-four thousand, eight hundred eighty".