93768840 has 192 divisors, whose sum is σ = 345159360. Its totient is φ = 22705920.

The previous prime is 93768823. The next prime is 93768881. The reversal of 93768840 is 4886739.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 106482 + ... + 107358.

It is an arithmetic number, because the mean of its divisors is an integer number (1797705).

Almost surely, 2^93768840 is an apocalyptic number.

93768840 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 93768840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172579680).

93768840 is an abundant number, since it is smaller than the sum of its proper divisors (251390520).

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

93768840 is a wasteful number, since it uses less digits than its factorization.

93768840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 93768840 is about 9683.4312100619. The cubic root of 93768840 is about 454.3105768827.

The spelling of 93768840 in words is "ninety-three million, seven hundred sixty-eight thousand, eight hundred forty".