96631416 has 96 divisors (see below), whose sum is σ = 314870400. Its totient is φ = 26153280.

The previous prime is 96631411. The next prime is 96631421. The reversal of 96631416 is 61413669.

96631416 is a `hidden beast` number, since 9 + 6 + 631 + 4 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (96631411) and next prime (96631421).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96631411) 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, 4531 + ... + 14621.

It is an arithmetic number, because the mean of its divisors is an integer number (3279900).

Almost surely, 2^96631416 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 96631416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157435200).

96631416 is an abundant number, since it is smaller than the sum of its proper divisors (218238984).

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

96631416 is a wasteful number, since it uses less digits than its factorization.

96631416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10129 (or 10122 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 96631416 is about 9830.1279747519. The cubic root of 96631416 is about 458.8873803470.

The spelling of 96631416 in words is "ninety-six million, six hundred thirty-one thousand, four hundred sixteen".