96414144 has 56 divisors (see below), whose sum is σ = 255818640. Its totient is φ = 32047104.

The previous prime is 96414133. The next prime is 96414167. The reversal of 96414144 is 44141469.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124992 + ... + 125760.

It is an arithmetic number, because the mean of its divisors is an integer number (4568190).

Almost surely, 2^96414144 is an apocalyptic number.

It is an amenable number.

96414144 is an abundant number, since it is smaller than the sum of its proper divisors (159404496).

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

96414144 is a wasteful number, since it uses less digits than its factorization.

96414144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437 (or 1427 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 96414144 is about 9819.0704244343. The cubic root of 96414144 is about 458.5431920802.

The spelling of 96414144 in words is "ninety-six million, four hundred fourteen thousand, one hundred forty-four".