90629280 has 384 divisors, whose sum is σ = 376911360. Its totient is φ = 20155392.

The previous prime is 90629267. The next prime is 90629333. The reversal of 90629280 is 8292609.

90629280 is a `hidden beast` number, since 9 + 0 + 629 + 28 + 0 = 666.

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 666 × 630 × 216.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2449422 + ... + 2449458.

It is an arithmetic number, because the mean of its divisors is an integer number (981540).

Almost surely, 2^90629280 is an apocalyptic number.

90629280 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 90629280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188455680).

90629280 is an abundant number, since it is smaller than the sum of its proper divisors (286282080).

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

90629280 is an equidigital number, since it uses as much as digits as its factorization.

90629280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 90629280 is about 9519.9411762889. The cubic root of 90629280 is about 449.1825158318.

It can be divided in two parts, 90629 and 280, that added together give a palindrome (90909).

The spelling of 90629280 in words is "ninety million, six hundred twenty-nine thousand, two hundred eighty".