90890190400 has 63 divisors (see below), whose sum is σ = 223676351859. Its totient is φ = 36351252480.

The previous prime is 90890190371. The next prime is 90890190431. The reversal of 90890190400 is 409109809.

The square root of 90890190400 is 301480.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4011448896 + 86878741504 = 63336^2 + 294752^2 .

It is a super-2 number, since 2×90890190400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12055432 + ... + 12062968.

Almost surely, 2^90890190400 is an apocalyptic number.

90890190400 is the 301480-th square number.

It is an amenable number.

90890190400 is an abundant number, since it is smaller than the sum of its proper divisors (132786161459).

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

90890190400 is an frugal number, since it uses more digits than its factorization.

90890190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15096 (or 7544 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 40.

The spelling of 90890190400 in words is "ninety billion, eight hundred ninety million, one hundred ninety thousand, four hundred".