926820 has 72 divisors (see below), whose sum is σ = 2970240. Its totient is φ = 233280.

The previous prime is 926819. The next prime is 926843. The reversal of 926820 is 28629.

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 926820.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3285 + ... + 3555.

2⁹²⁶⁸²⁰ is an apocalyptic number.

926820 is a gapful number since it is divisible by the number (90) 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 926820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485120).

926820 is an abundant number, since it is smaller than the sum of its proper divisors (2043420).

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

926820 is a wasteful number, since it uses less digits than its factorization.

926820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 926820 is about 962.7149110718. The cubic root of 926820 is about 97.4986193098.

The spelling of 926820 in words is "nine hundred twenty-six thousand, eight hundred twenty".