96668640 has 120 divisors (see below), whose sum is σ = 341205480. Its totient is φ = 25774848.

The previous prime is 96668639. The next prime is 96668641. The reversal of 96668640 is 4686669.

It is an interprime number because it is at equal distance from previous prime (96668639) and next prime (96668641).

It is a tau number, because it is divible by the number of its divisors (120).

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 (96668641) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9231 + ... + 16689.

It is an arithmetic number, because the mean of its divisors is an integer number (2843379).

Almost surely, 2^96668640 is an apocalyptic number.

96668640 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 96668640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170602740).

96668640 is an abundant number, since it is smaller than the sum of its proper divisors (244536840).

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

96668640 is a wasteful number, since it uses less digits than its factorization.

96668640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7486 (or 7469 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 96668640 is about 9832.0211553881. The cubic root of 96668640 is about 458.9462964209.

The spelling of 96668640 in words is "ninety-six million, six hundred sixty-eight thousand, six hundred forty".