96914160 has 360 divisors, whose sum is σ = 393631056. Its totient is φ = 21288960.

The previous prime is 96914149. The next prime is 96914171. The reversal of 96914160 is 6141969.

It is an interprime number because it is at equal distance from previous prime (96914149) and next prime (96914171).

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 1446447 + ... + 1446513.

Almost surely, 2^96914160 is an apocalyptic number.

96914160 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 96914160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196815528).

96914160 is an abundant number, since it is smaller than the sum of its proper divisors (296716896).

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

96914160 is a wasteful number, since it uses less digits than its factorization.

96914160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 96914160 is about 9844.4989715069. The cubic root of 96914160 is about 459.3345134387.

It can be divided in two parts, 969 and 14160, that added together give a square (15129 = 123²).

The spelling of 96914160 in words is "ninety-six million, nine hundred fourteen thousand, one hundred sixty".