716964192 has 144 divisors (see below), whose sum is σ = 2341815840. Its totient is φ = 203821056.

The previous prime is 716964191. The next prime is 716964247. The reversal of 716964192 is 291469617.

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

It is a super-2 number, since 2×716964192² = 1028075305220425728, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (716964191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 460888 + ... + 462440.

It is an arithmetic number, because the mean of its divisors is an integer number (16262610).

Almost surely, 2^716964192 is an apocalyptic number.

716964192 is a gapful number since it is divisible by the number (72) 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 716964192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170907920).

716964192 is an abundant number, since it is smaller than the sum of its proper divisors (1624851648).

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

716964192 is a wasteful number, since it uses less digits than its factorization.

716964192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805 (or 1794 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 716964192 is about 26776.1870325108. The cubic root of 716964192 is about 895.0194816978.

The spelling of 716964192 in words is "seven hundred sixteen million, nine hundred sixty-four thousand, one hundred ninety-two".