96938240 has 144 divisors (see below), whose sum is σ = 274713600. Its totient is φ = 32071680.

The previous prime is 96938221. The next prime is 96938243. The reversal of 96938240 is 4283969.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (96938243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277586 + ... + 277934.

Almost surely, 2^96938240 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 96938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137356800).

96938240 is an abundant number, since it is smaller than the sum of its proper divisors (177775360).

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

96938240 is a wasteful number, since it uses less digits than its factorization.

96938240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 96938240 is about 9845.7219136029. The cubic root of 96938240 is about 459.3725534909.

The spelling of 96938240 in words is "ninety-six million, nine hundred thirty-eight thousand, two hundred forty".