93413088 has 144 divisors (see below), whose sum is σ = 283164336. Its totient is φ = 30274560.

The previous prime is 93413081. The next prime is 93413141. The reversal of 93413088 is 88031439.

93413088 is a `hidden beast` number, since 9 + 341 + 308 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (93413081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 318670 + ... + 318962.

It is an arithmetic number, because the mean of its divisors is an integer number (1966419).

Almost surely, 2^93413088 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 93413088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141582168).

93413088 is an abundant number, since it is smaller than the sum of its proper divisors (189751248).

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

93413088 is a wasteful number, since it uses less digits than its factorization.

93413088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 93413088 is about 9665.0446455254. The cubic root of 93413088 is about 453.7353085879.

The spelling of 93413088 in words is "ninety-three million, four hundred thirteen thousand, eighty-eight".