96988320 has 384 divisors, whose sum is σ = 401345280. Its totient is φ = 21565440.

The previous prime is 96988319. The next prime is 96988321. The reversal of 96988320 is 2388969.

It is an interprime number because it is at equal distance from previous prime (96988319) and next prime (96988321).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96988321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 617682 + ... + 617838.

It is an arithmetic number, because the mean of its divisors is an integer number (1045170).

Almost surely, 2^96988320 is an apocalyptic number.

96988320 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 96988320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200672640).

96988320 is an abundant number, since it is smaller than the sum of its proper divisors (304356960).

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

96988320 is a wasteful number, since it uses less digits than its factorization.

96988320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 96988320 is about 9848.2648217846. The cubic root of 96988320 is about 459.4516465195.

The spelling of 96988320 in words is "ninety-six million, nine hundred eighty-eight thousand, three hundred twenty".