93434880 has 352 divisors, whose sum is σ = 377303040. Its totient is φ = 19169280.

The previous prime is 93434867. The next prime is 93434881. The reversal of 93434880 is 8843439.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×93434880² = 17460153601228800, which contains 22 as substring.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93434881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1182681 + ... + 1182759.

Almost surely, 2^93434880 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 93434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188651520).

93434880 is an abundant number, since it is smaller than the sum of its proper divisors (283868160).

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

93434880 is a wasteful number, since it uses less digits than its factorization.

93434880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 93434880 is about 9666.1719413633. The cubic root of 93434880 is about 453.7705892652.

The spelling of 93434880 in words is "ninety-three million, four hundred thirty-four thousand, eight hundred eighty".