96414240 has 96 divisors (see below), whose sum is σ = 327087936. Its totient is φ = 23731200.

The previous prime is 96414187. The next prime is 96414251. The reversal of 96414240 is 4241469.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 96414198 and 96414207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1486 + ... + 13965.

It is an arithmetic number, because the mean of its divisors is an integer number (3407166).

Almost surely, 2^96414240 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 96414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163543968).

96414240 is an abundant number, since it is smaller than the sum of its proper divisors (230673696).

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

96414240 is a wasteful number, since it uses less digits than its factorization.

96414240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15482 (or 15474 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 96414240 is about 9819.0753128795. The cubic root of 96414240 is about 458.5433442713.

The spelling of 96414240 in words is "ninety-six million, four hundred fourteen thousand, two hundred forty".