90340400 has 60 divisors (see below), whose sum is σ = 220168944. Its totient is φ = 35616000.

The previous prime is 90340381. The next prime is 90340433. The reversal of 90340400 is 404309.

It is a super-2 number, since 2×90340400² = 16322775744320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26810 + ... + 29990.

Almost surely, 2^90340400 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 90340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110084472).

90340400 is an abundant number, since it is smaller than the sum of its proper divisors (129828544).

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

90340400 is a wasteful number, since it uses less digits than its factorization.

90340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3270 (or 3259 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 90340400 is about 9504.7567038825. The cubic root of 90340400 is about 448.7047527981.

Adding to 90340400 its reverse (404309), we get a palindrome (90744709).

The spelling of 90340400 in words is "ninety million, three hundred forty thousand, four hundred".