96414208 has 160 divisors (see below), whose sum is σ = 238645440. Its totient is φ = 38338560.

The previous prime is 96414187. The next prime is 96414251. The reversal of 96414208 is 80241469.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1819110 + ... + 1819162.

It is an arithmetic number, because the mean of its divisors is an integer number (1491534).

Almost surely, 2^96414208 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 96414208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119322720).

96414208 is an abundant number, since it is smaller than the sum of its proper divisors (142231232).

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

96414208 is a wasteful number, since it uses less digits than its factorization.

96414208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 96414208 is about 9819.0736833980. The cubic root of 96414208 is about 458.5432935410.

The spelling of 96414208 in words is "ninety-six million, four hundred fourteen thousand, two hundred eight".