723967608 has 192 divisors, whose sum is σ = 2295786240. Its totient is φ = 186181632.

The previous prime is 723967603. The next prime is 723967639. The reversal of 723967608 is 806769327.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (723967603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1220560 + ... + 1221152.

It is an arithmetic number, because the mean of its divisors is an integer number (11957220).

Almost surely, 2^723967608 is an apocalyptic number.

723967608 is a gapful number since it is divisible by the number (78) 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 723967608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147893120).

723967608 is an abundant number, since it is smaller than the sum of its proper divisors (1571818632).

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

723967608 is a wasteful number, since it uses less digits than its factorization.

723967608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 723967608 is about 26906.6461678151. The cubic root of 723967608 is about 897.9242730904.

It can be divided in two parts, 7239 and 67608, that added together give a palindrome (74847).

The spelling of 723967608 in words is "seven hundred twenty-three million, nine hundred sixty-seven thousand, six hundred eight".