93768480 has 144 divisors (see below), whose sum is σ = 344667960. Its totient is φ = 23076864.

The previous prime is 93768473. The next prime is 93768491. The reversal of 93768480 is 8486739.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 57335184 + 36433296 = 7572^2 + 6036^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×93768480³ (a number of 25 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 16216 + ... + 21224.

Almost surely, 2^93768480 is an apocalyptic number.

93768480 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 93768480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172333980).

93768480 is an abundant number, since it is smaller than the sum of its proper divisors (250899480).

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

93768480 is a wasteful number, since it uses less digits than its factorization.

93768480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5043 (or 5032 counting only the distinct ones).

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

The square root of 93768480 is about 9683.4126215916. The cubic root of 93768480 is about 454.3099954812.

The spelling of 93768480 in words is "ninety-three million, seven hundred sixty-eight thousand, four hundred eighty".