9280624896 has 189 divisors, whose sum is σ = 27899899419. Its totient is φ = 3079669248.

The previous prime is 9280624849. The next prime is 9280624919. The reversal of 9280624896 is 6984260829.

It is a happy number.

The square root of 9280624896 is 96336.

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

9280624896 is a `hidden beast` number, since 9 + 2 + 8 + 0 + 624 + 8 + 9 + 6 = 666.

It is a super-2 number, since 2×9280624896² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 41617041 + ... + 41617263.

Almost surely, 2^9280624896 is an apocalyptic number.

9280624896 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

9280624896 is the 96336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9280624896

9280624896 is an abundant number, since it is smaller than the sum of its proper divisors (18619274523).

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

9280624896 is an frugal number, since it uses more digits than its factorization.

9280624896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The cubic root of 9280624896 is about 2101.4823167035.

The spelling of 9280624896 in words is "nine billion, two hundred eighty million, six hundred twenty-four thousand, eight hundred ninety-six".