90479040 has 84 divisors (see below), whose sum is σ = 288209736. Its totient is φ = 24049152.

The previous prime is 90479021. The next prime is 90479069. The reversal of 90479040 is 4097409.

It is a junction number, because it is equal to n+sod(n) for n = 90478992 and 90479010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 294567 + ... + 294873.

Almost surely, 2^90479040 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 90479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144104868).

90479040 is an abundant number, since it is smaller than the sum of its proper divisors (197730696).

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

90479040 is an equidigital number, since it uses as much as digits as its factorization.

90479040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 90479040 is about 9512.0470982854. The cubic root of 90479040 is about 448.9341689157.

The spelling of 90479040 in words is "ninety million, four hundred seventy-nine thousand, forty".