93427920 has 180 divisors, whose sum is σ = 334046700. Its totient is φ = 23396352.

The previous prime is 93427907. The next prime is 93427951. The reversal of 93427920 is 2972439.

It can be written as a sum of positive squares in 6 ways, for example, as 7160976 + 86266944 = 2676^2 + 9288^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 207856 + ... + 208304.

It is an arithmetic number, because the mean of its divisors is an integer number (1855815).

Almost surely, 2^93427920 is an apocalyptic number.

93427920 is a gapful number since it is divisible by the number (90) 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 93427920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167023350).

93427920 is an abundant number, since it is smaller than the sum of its proper divisors (240618780).

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

93427920 is a wasteful number, since it uses less digits than its factorization.

93427920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 93427920 is about 9665.8119162334. The cubic root of 93427920 is about 453.7593218038.

The spelling of 93427920 in words is "ninety-three million, four hundred twenty-seven thousand, nine hundred twenty".