96416640 has 192 divisors, whose sum is σ = 350859600. Its totient is φ = 24330240.

The previous prime is 96416633. The next prime is 96416641. The reversal of 96416640 is 4661469.

96416640 is a `hidden beast` number, since 9 + 6 + 4 + 1 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 96416595 and 96416604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96416641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109000 + ... + 109880.

Almost surely, 2^96416640 is an apocalyptic number.

96416640 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 96416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175429800).

96416640 is an abundant number, since it is smaller than the sum of its proper divisors (254442960).

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

96416640 is a wasteful number, since it uses less digits than its factorization.

96416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 96416640 is about 9819.1975232195. The cubic root of 96416640 is about 458.5471490167.

The spelling of 96416640 in words is "ninety-six million, four hundred sixteen thousand, six hundred forty".