90417600 has 672 divisors, whose sum is σ = 423306240. Its totient is φ = 18247680.

The previous prime is 90417557. The next prime is 90417601. The reversal of 90417600 is 671409.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90417601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3931189 + ... + 3931211.

It is an arithmetic number, because the mean of its divisors is an integer number (629920).

Almost surely, 2^90417600 is an apocalyptic number.

90417600 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 90417600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211653120).

90417600 is an abundant number, since it is smaller than the sum of its proper divisors (332888640).

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

90417600 is a wasteful number, since it uses less digits than its factorization.

90417600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 90417600 is about 9508.8169611156. The cubic root of 90417600 is about 448.8325293131.

It can be divided in two parts, 9041 and 7600, that added together give a square (16641 = 129²).

The spelling of 90417600 in words is "ninety million, four hundred seventeen thousand, six hundred".