9002901600 has 576 divisors, whose sum is σ = 40602401280. Its totient is φ = 1870387200.

The previous prime is 9002901571. The next prime is 9002901623. The reversal of 9002901600 is 61092009.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1660494 + ... + 1665906.

It is an arithmetic number, because the mean of its divisors is an integer number (70490280).

Almost surely, 2^9002901600 is an apocalyptic number.

9002901600 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 9002901600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20301200640).

9002901600 is an abundant number, since it is smaller than the sum of its proper divisors (31599499680).

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

9002901600 is a wasteful number, since it uses less digits than its factorization.

9002901600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5460 (or 5441 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 9002901600 is about 94883.6213474170. The cubic root of 9002901600 is about 2080.3073387080.

Adding to 9002901600 its reverse (61092009), we get a palindrome (9063993609).

The spelling of 9002901600 in words is "nine billion, two million, nine hundred one thousand, six hundred".