93840240 has 160 divisors (see below), whose sum is σ = 329978880. Its totient is φ = 21869568.

The previous prime is 93840239. The next prime is 93840269. The reversal of 93840240 is 4204839.

It is a happy number.

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 = 93840198 and 93840207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58489 + ... + 60071.

It is an arithmetic number, because the mean of its divisors is an integer number (2062368).

Almost surely, 2^93840240 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 93840240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164989440).

93840240 is an abundant number, since it is smaller than the sum of its proper divisors (236138640).

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

93840240 is a wasteful number, since it uses less digits than its factorization.

93840240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1625 counting only the distinct ones).

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

The square root of 93840240 is about 9687.1172182440. The cubic root of 93840240 is about 454.4258587661.

The spelling of 93840240 in words is "ninety-three million, eight hundred forty thousand, two hundred forty".