9932880960 has 280 divisors, whose sum is σ = 35564893056. Its totient is φ = 2631398400.

The previous prime is 9932880931. The next prime is 9932880977. The reversal of 9932880960 is 690882399.

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

It is a junction number, because it is equal to n+sod(n) for n = 9932880897 and 9932880906.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4223785 + ... + 4226135.

Almost surely, 2^9932880960 is an apocalyptic number.

9932880960 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 9932880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17782446528).

9932880960 is an abundant number, since it is smaller than the sum of its proper divisors (25632012096).

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

9932880960 is a wasteful number, since it uses less digits than its factorization.

9932880960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2543 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 9932880960 is about 99663.8397815376. The cubic root of 9932880960 is about 2149.6037459745.

The spelling of 9932880960 in words is "nine billion, nine hundred thirty-two million, eight hundred eighty thousand, nine hundred sixty".