93125088 has 108 divisors (see below), whose sum is σ = 308107800. Its totient is φ = 26603136.

The previous prime is 93125083. The next prime is 93125089. The reversal of 93125088 is 88052139.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93125083) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10813 + ... + 17411.

It is an arithmetic number, because the mean of its divisors is an integer number (2852850).

Almost surely, 2^93125088 is an apocalyptic number.

93125088 is a gapful number since it is divisible by the number (98) 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 93125088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154053900).

93125088 is an abundant number, since it is smaller than the sum of its proper divisors (214982712).

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

93125088 is a wasteful number, since it uses less digits than its factorization.

93125088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6629 (or 6611 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 93125088 is about 9650.1340923326. The cubic root of 93125088 is about 453.2685278374.

It can be divided in two parts, 9312 and 5088, that added together give a square (14400 = 120²).

The spelling of 93125088 in words is "ninety-three million, one hundred twenty-five thousand, eighty-eight".