90412200 has 120 divisors (see below), whose sum is σ = 314071230. Its totient is φ = 24105600.

The previous prime is 90412193. The next prime is 90412207. The reversal of 90412200 is 221409.

It is an interprime number because it is at equal distance from previous prime (90412193) and next prime (90412207).

It can be written as a sum of positive squares in 3 ways, for example, as 59074596 + 31337604 = 7686^2 + 5598^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (90412207) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 13410 + ... + 18990.

Almost surely, 2^90412200 is an apocalyptic number.

90412200 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 90412200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157035615).

90412200 is an abundant number, since it is smaller than the sum of its proper divisors (223659030).

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

90412200 is a wasteful number, since it uses less digits than its factorization.

90412200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5609 (or 5591 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 90412200 is about 9508.5330098812. The cubic root of 90412200 is about 448.8235939439.

Adding to 90412200 its reverse (221409), we get a palindrome (90633609).

The spelling of 90412200 in words is "ninety million, four hundred twelve thousand, two hundred".