93285120 has 144 divisors (see below), whose sum is σ = 315675360. Its totient is φ = 23396352.

The previous prime is 93285119. The next prime is 93285121. The reversal of 93285120 is 2158239.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (93285119) and next prime (93285121).

It is a super-3 number, since 3×93285120³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93285121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64566 + ... + 65994.

It is an arithmetic number, because the mean of its divisors is an integer number (2192190).

Almost surely, 2^93285120 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 93285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157837680).

93285120 is an abundant number, since it is smaller than the sum of its proper divisors (222390240).

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

93285120 is a wasteful number, since it uses less digits than its factorization.

93285120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 93285120 is about 9658.4222313999. The cubic root of 93285120 is about 453.5280209530.

The spelling of 93285120 in words is "ninety-three million, two hundred eighty-five thousand, one hundred twenty".