93045120 has 384 divisors, whose sum is σ = 368375040. Its totient is φ = 19869696.

The previous prime is 93045119. The next prime is 93045133. The reversal of 93045120 is 2154039.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2163819 + ... + 2163861.

It is an arithmetic number, because the mean of its divisors is an integer number (959310).

Almost surely, 2^93045120 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 93045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184187520).

93045120 is an abundant number, since it is smaller than the sum of its proper divisors (275329920).

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

93045120 is a wasteful number, since it uses less digits than its factorization.

93045120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 93045120 is about 9645.9898403430. The cubic root of 93045120 is about 453.1387477081.

Adding to 93045120 its reverse (2154039), we get a palindrome (95199159).

The spelling of 93045120 in words is "ninety-three million, forty-five thousand, one hundred twenty".