90617400 has 192 divisors, whose sum is σ = 317167200. Its totient is φ = 23777280.

The previous prime is 90617389. The next prime is 90617407. The reversal of 90617400 is 471609.

90617400 is a `hidden beast` number, since 9 + 0 + 617 + 40 + 0 = 666.

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 (90617407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 523714 + ... + 523886.

Almost surely, 2^90617400 is an apocalyptic number.

90617400 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 90617400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158583600).

90617400 is an abundant number, since it is smaller than the sum of its proper divisors (226549800).

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

90617400 is a wasteful number, since it uses less digits than its factorization.

90617400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 280 counting only the distinct ones).

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

The square root of 90617400 is about 9519.3172024048. The cubic root of 90617400 is about 449.1628881740.

It can be divided in two parts, 9061 and 7400, that added together give a palindrome (16461).

The spelling of 90617400 in words is "ninety million, six hundred seventeen thousand, four hundred".