90788460 has 192 divisors, whose sum is σ = 316538880. Its totient is φ = 18973440.

The previous prime is 90788419. The next prime is 90788513. The reversal of 90788460 is 6488709.

It is a happy number.

90788460 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

90788460 is strictly pandigital in base 9.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 247197 + ... + 247563.

It is an arithmetic number, because the mean of its divisors is an integer number (1648640).

Almost surely, 2^90788460 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 90788460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158269440).

90788460 is an abundant number, since it is smaller than the sum of its proper divisors (225750420).

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

90788460 is a wasteful number, since it uses less digits than its factorization.

90788460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 90788460 is about 9528.2978542865. The cubic root of 90788460 is about 449.4453413139.

The spelling of 90788460 in words is "ninety million, seven hundred eighty-eight thousand, four hundred sixty".