96637416 has 64 divisors (see below), whose sum is σ = 251051520. Its totient is φ = 30965760.

The previous prime is 96637399. The next prime is 96637417. The reversal of 96637416 is 61473669.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (96637417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143256 + ... + 143928.

It is an arithmetic number, because the mean of its divisors is an integer number (3922680).

Almost surely, 2^96637416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96637416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125525760).

96637416 is an abundant number, since it is smaller than the sum of its proper divisors (154414104).

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

96637416 is a wasteful number, since it uses less digits than its factorization.

96637416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 902 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The square root of 96637416 is about 9830.4331542410. The cubic root of 96637416 is about 458.8968778356.

The spelling of 96637416 in words is "ninety-six million, six hundred thirty-seven thousand, four hundred sixteen".