90424880 has 80 divisors (see below), whose sum is σ = 258775104. Its totient is φ = 28615680.

The previous prime is 90424879. The next prime is 90424883. The reversal of 90424880 is 8842409.

It is a tau number, because it is divible by the number of its divisors (80).

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 90424880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90424883) 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, 1070 + ... + 13490.

Almost surely, 2^90424880 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 90424880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129387552).

90424880 is an abundant number, since it is smaller than the sum of its proper divisors (168350224).

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

90424880 is a wasteful number, since it uses less digits than its factorization.

90424880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12454 (or 12448 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 90424880 is about 9509.1997560257. The cubic root of 90424880 is about 448.8445749514.

The spelling of 90424880 in words is "ninety million, four hundred twenty-four thousand, eight hundred eighty".