90400632 has 128 divisors (see below), whose sum is σ = 275251200. Its totient is φ = 24167808.

The previous prime is 90400601. The next prime is 90400633. The reversal of 90400632 is 23600409.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90400633) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 405273 + ... + 405495.

It is an arithmetic number, because the mean of its divisors is an integer number (2150400).

Almost surely, 2^90400632 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 90400632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137625600).

90400632 is an abundant number, since it is smaller than the sum of its proper divisors (184850568).

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

90400632 is a wasteful number, since it uses less digits than its factorization.

90400632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 90400632 is about 9507.9246946955. The cubic root of 90400632 is about 448.8044512000.

The spelling of 90400632 in words is "ninety million, four hundred thousand, six hundred thirty-two".