94993920 has 480 divisors, whose sum is σ = 408545280. Its totient is φ = 19906560.

The previous prime is 94993903. The next prime is 94993973. The reversal of 94993920 is 2939949.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3064305 + ... + 3064335.

It is an arithmetic number, because the mean of its divisors is an integer number (851136).

Almost surely, 2^94993920 is an apocalyptic number.

94993920 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 94993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204272640).

94993920 is an abundant number, since it is smaller than the sum of its proper divisors (313551360).

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

94993920 is a wasteful number, since it uses less digits than its factorization.

94993920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 94993920 is about 9746.4824423994. The cubic root of 94993920 is about 456.2805291387.

The spelling of 94993920 in words is "ninety-four million, nine hundred ninety-three thousand, nine hundred twenty".