90673254400 has 117 divisors (see below), whose sum is σ = 225081414583. Its totient is φ = 36230758400.

The previous prime is 90673254377. The next prime is 90673254403. The reversal of 90673254400 is 445237609.

It is a happy number.

The square root of 90673254400 is 301120.

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 38539264 + 90634715136 = 6208^2 + 301056^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90673254403) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 96357930 + ... + 96358870.

Almost surely, 2^90673254400 is an apocalyptic number.

90673254400 is the 301120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90673254400

90673254400 is an abundant number, since it is smaller than the sum of its proper divisors (134408160183).

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

90673254400 is an frugal number, since it uses more digits than its factorization.

90673254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 90673254400 in words is "ninety billion, six hundred seventy-three million, two hundred fifty-four thousand, four hundred".