94916400 has 240 divisors, whose sum is σ = 335811840. Its totient is φ = 22809600.

The previous prime is 94916399. The next prime is 94916407. The reversal of 94916400 is 461949.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94916407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524310 + ... + 524490.

It is an arithmetic number, because the mean of its divisors is an integer number (1399216).

Almost surely, 2^94916400 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 94916400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167905920).

94916400 is an abundant number, since it is smaller than the sum of its proper divisors (240895440).

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

94916400 is a wasteful number, since it uses less digits than its factorization.

94916400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 94916400 is about 9742.5048113922. The cubic root of 94916400 is about 456.1563791143.

The spelling of 94916400 in words is "ninety-four million, nine hundred sixteen thousand, four hundred".