9032601600 has 819 divisors, whose sum is σ = 36912241849. Its totient is φ = 2189721600.

The previous prime is 9032601593. The next prime is 9032601631. The reversal of 9032601600 is 61062309.

It is a happy number.

The square root of 9032601600 is 95040.

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

It can be written as a sum of positive squares in only one way, i.e., 3251736576 + 5780865024 = 57024^2 + 76032^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 821145595 + ... + 821145605.

Almost surely, 2^9032601600 is an apocalyptic number.

9032601600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9032601600 is the 95040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9032601600

9032601600 is an abundant number, since it is smaller than the sum of its proper divisors (27879640249).

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

9032601600 is an equidigital number, since it uses as much as digits as its factorization.

9032601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The cubic root of 9032601600 is about 2082.5924283088.

Adding to 9032601600 its reverse (61062309), we get a palindrome (9093663909).

The spelling of 9032601600 in words is "nine billion, thirty-two million, six hundred one thousand, six hundred".