94963968 has 144 divisors (see below), whose sum is σ = 306600000. Its totient is φ = 28753920.

The previous prime is 94963933. The next prime is 94963997. The reversal of 94963968 is 86936949.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75408 + ... + 76656.

Almost surely, 2^94963968 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 94963968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153300000).

94963968 is an abundant number, since it is smaller than the sum of its proper divisors (211636032).

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

94963968 is a wasteful number, since it uses less digits than its factorization.

94963968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1265 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 94963968 is about 9744.9457669091. The cubic root of 94963968 is about 456.2325683463.

The spelling of 94963968 in words is "ninety-four million, nine hundred sixty-three thousand, nine hundred sixty-eight".