9090662400 has 480 divisors, whose sum is σ = 33923406330. Its totient is φ = 2406481920.

The previous prime is 9090662387. The next prime is 9090662401. The reversal of 9090662400 is 42660909.

It can be written as a sum of positive squares in 3 ways, for example, as 7072137216 + 2018525184 = 84096^2 + 44928^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9090662401) 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, 66355132 + ... + 66355268.

Almost surely, 2^9090662400 is an apocalyptic number.

9090662400 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 9090662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16961703165).

9090662400 is an abundant number, since it is smaller than the sum of its proper divisors (24832743930).

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

9090662400 is an equidigital number, since it uses as much as digits as its factorization.

9090662400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 9090662400 is about 95344.9652577418. The cubic root of 9090662400 is about 2087.0451440627.

The spelling of 9090662400 in words is "nine billion, ninety million, six hundred sixty-two thousand, four hundred".