93264883920 has 400 divisors, whose sum is σ = 360878308560. Its totient is φ = 22165291008.

The previous prime is 93264883861. The next prime is 93264883937. The reversal of 93264883920 is 2938846239.

It is a happy number.

93264883920 is a `hidden beast` number, since 93 + 26 + 488 + 39 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 25387960896 + 67876923024 = 159336^2 + 260532^2 .

It is a super-2 number, since 2×93264883920² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2423872 + ... + 2462048.

Almost surely, 2^93264883920 is an apocalyptic number.

93264883920 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 93264883920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180439154280).

93264883920 is an abundant number, since it is smaller than the sum of its proper divisors (267613424640).

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

93264883920 is a wasteful number, since it uses less digits than its factorization.

93264883920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38244 (or 38229 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 93264883920 in words is "ninety-three billion, two hundred sixty-four million, eight hundred eighty-three thousand, nine hundred twenty".