90908400 has 240 divisors, whose sum is σ = 325479168. Its totient is φ = 21504000.

The previous prime is 90908269. The next prime is 90908413. The reversal of 90908400 is 480909.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 937152 + ... + 937248.

Almost surely, 2^90908400 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 90908400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162739584).

90908400 is an abundant number, since it is smaller than the sum of its proper divisors (234570768).

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

90908400 is a wasteful number, since it uses less digits than its factorization.

90908400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 90908400 is about 9534.5896608087. The cubic root of 90908400 is about 449.6431739208.

The spelling of 90908400 in words is "ninety million, nine hundred eight thousand, four hundred".