920736 has 72 divisors (see below), whose sum is σ = 2751840. Its totient is φ = 291456.

The previous prime is 920729. The next prime is 920741. The reversal of 920736 is 637029.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

920736 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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6555 + ... + 6693.

It is an arithmetic number, because the mean of its divisors is an integer number (38220).

2⁹²⁰⁷³⁶ is an apocalyptic number.

920736 is a gapful number since it is divisible by the number (96) 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 920736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375920).

920736 is an abundant number, since it is smaller than the sum of its proper divisors (1831104).

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

920736 is a wasteful number, since it uses less digits than its factorization.

920736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 167 counting only the distinct ones).

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

The square root of 920736 is about 959.5498944818. The cubic root of 920736 is about 97.2848114108.

It can be divided in two parts, 9 and 20736, that multiplied together give a square (186624 = 432²).

The spelling of 920736 in words is "nine hundred twenty thousand, seven hundred thirty-six".