96345414 has 48 divisors (see below), whose sum is σ = 232047504. Its totient is φ = 28641600.

The previous prime is 96345331. The next prime is 96345419. The reversal of 96345414 is 41454369.

96345414 is a `hidden beast` number, since 9 + 634 + 5 + 4 + 14 = 666.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96345419) 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, 5904 + ... + 15084.

It is an arithmetic number, because the mean of its divisors is an integer number (4834323).

Almost surely, 2^96345414 is an apocalyptic number.

96345414 is the 5247-th nonagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96345414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116023752).

96345414 is an abundant number, since it is smaller than the sum of its proper divisors (135702090).

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

96345414 is a wasteful number, since it uses less digits than its factorization.

96345414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9253 (or 9250 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 96345414 is about 9815.5699783558. The cubic root of 96345414 is about 458.4342068075.

The spelling of 96345414 in words is "ninety-six million, three hundred forty-five thousand, four hundred fourteen".