90929280 has 128 divisors (see below), whose sum is σ = 312217920. Its totient is φ = 22376448.

The previous prime is 90929273. The next prime is 90929299. The reversal of 90929280 is 8292909.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×90929280² = 16536267922636800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23139 + ... + 26781.

Almost surely, 2^90929280 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 90929280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156108960).

90929280 is an abundant number, since it is smaller than the sum of its proper divisors (221288640).

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

90929280 is a wasteful number, since it uses less digits than its factorization.

90929280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3678 (or 3666 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 90929280 is about 9535.6845585411. The cubic root of 90929280 is about 449.6775962286.

The spelling of 90929280 in words is "ninety million, nine hundred twenty-nine thousand, two hundred eighty".