96007680 has 200 divisors, whose sum is σ = 344611872. Its totient is φ = 25546752.

The previous prime is 96007669. The next prime is 96007697. The reversal of 96007680 is 8670069.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 207129 + ... + 207591.

Almost surely, 2^96007680 is an apocalyptic number.

96007680 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 96007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172305936).

96007680 is an abundant number, since it is smaller than the sum of its proper divisors (248604192).

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

96007680 is an equidigital number, since it uses as much as digits as its factorization.

96007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 96007680 is about 9798.3508816535. The cubic root of 96007680 is about 457.8979069810.

The spelling of 96007680 in words is "ninety-six million, seven thousand, six hundred eighty".