93648240 has 240 divisors, whose sum is σ = 380922048. Its totient is φ = 20127744.

The previous prime is 93648229. The next prime is 93648253. The reversal of 93648240 is 4284639.

It is a happy number.

93648240 is a `hidden beast` number, since 9 + 3 + 648 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 93648195 and 93648204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85134 + ... + 86226.

Almost surely, 2^93648240 is an apocalyptic number.

93648240 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93648240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190461024).

93648240 is an abundant number, since it is smaller than the sum of its proper divisors (287273808).

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

93648240 is a wasteful number, since it uses less digits than its factorization.

93648240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 93648240 is about 9677.2020749801. The cubic root of 93648240 is about 454.1157240881.

The spelling of 93648240 in words is "ninety-three million, six hundred forty-eight thousand, two hundred forty".