93094920 has 160 divisors (see below), whose sum is σ = 318859200. Its totient is φ = 24354432.

The previous prime is 93094919. The next prime is 93094931. The reversal of 93094920 is 2949039.

93094920 = 171² + 172² + ... + 657².

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 190917 + ... + 191403.

It is an arithmetic number, because the mean of its divisors is an integer number (1992870).

Almost surely, 2^93094920 is an apocalyptic number.

93094920 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 93094920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159429600).

93094920 is an abundant number, since it is smaller than the sum of its proper divisors (225764280).

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

93094920 is a wasteful number, since it uses less digits than its factorization.

93094920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 93094920 is about 9648.5708786328. The cubic root of 93094920 is about 453.2195768973.

The spelling of 93094920 in words is "ninety-three million, ninety-four thousand, nine hundred twenty".