94968720 has 320 divisors, whose sum is σ = 408545280. Its totient is φ = 19699200.

The previous prime is 94968719. The next prime is 94968743. The reversal of 94968720 is 2786949.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166035 + ... + 166605.

It is an arithmetic number, because the mean of its divisors is an integer number (1276704).

Almost surely, 2^94968720 is an apocalyptic number.

94968720 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 94968720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204272640).

94968720 is an abundant number, since it is smaller than the sum of its proper divisors (313576560).

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

94968720 is a wasteful number, since it uses less digits than its factorization.

94968720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 94968720 is about 9745.1895825582. The cubic root of 94968720 is about 456.2401781835.

The spelling of 94968720 in words is "ninety-four million, nine hundred sixty-eight thousand, seven hundred twenty".