93996672 has 288 divisors, whose sum is σ = 333180960. Its totient is φ = 22978560.

The previous prime is 93996647. The next prime is 93996673. The reversal of 93996672 is 27669939.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (93996673) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5529208 + ... + 5529224.

Almost surely, 2^93996672 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 93996672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166590480).

93996672 is an abundant number, since it is smaller than the sum of its proper divisors (239184288).

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

93996672 is a wasteful number, since it uses less digits than its factorization.

93996672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 40 counting only the distinct ones).

The product of its digits is 1102248, while the sum is 51.

The square root of 93996672 is about 9695.1880848182. The cubic root of 93996672 is about 454.6782284030.

Multiplying 93996672 by its product of digits (1102248), we get a square (103607643718656 = 10178784²).

The spelling of 93996672 in words is "ninety-three million, nine hundred ninety-six thousand, six hundred seventy-two".