720936 has 96 divisors (see below), whose sum is σ = 2246400. Its totient is φ = 207360.

The previous prime is 720931. The next prime is 720943. The reversal of 720936 is 639027.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 720936.

It is not an unprimeable number, because it can be changed into a prime (720931) by changing a digit.

720936 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23241 + ... + 23271.

It is an arithmetic number, because the mean of its divisors is an integer number (23400).

2⁷²⁰⁹³⁶ is an apocalyptic number.

720936 is a gapful number since it is divisible by the number (76) 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 720936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123200).

720936 is an abundant number, since it is smaller than the sum of its proper divisors (1525464).

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

720936 is a wasteful number, since it uses less digits than its factorization.

720936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 720936 is about 849.0795015780. The cubic root of 720936 is about 89.6669169543. Note that the first 3 decimals are identical.

The spelling of 720936 in words is "seven hundred twenty thousand, nine hundred thirty-six".