93763840 has 144 divisors (see below), whose sum is σ = 247242240. Its totient is φ = 33914880.

The previous prime is 93763783. The next prime is 93763861. The reversal of 93763840 is 4836739.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 93763793 and 93763802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 674491 + ... + 674629.

It is an arithmetic number, because the mean of its divisors is an integer number (1716960).

Almost surely, 2^93763840 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 93763840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123621120).

93763840 is an abundant number, since it is smaller than the sum of its proper divisors (153478400).

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

93763840 is a wasteful number, since it uses less digits than its factorization.

93763840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 93763840 is about 9683.1730336703. The cubic root of 93763840 is about 454.3025017294.

The spelling of 93763840 in words is "ninety-three million, seven hundred sixty-three thousand, eight hundred forty".