962820 has 48 divisors (see below), whose sum is σ = 2997120. Its totient is φ = 256608.

The previous prime is 962807. The next prime is 962837. The reversal of 962820 is 28269.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 962820.

It is an unprimeable number.

962820 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 352 + ... + 1431.

It is an arithmetic number, because the mean of its divisors is an integer number (62440).

2⁹⁶²⁸²⁰ is an apocalyptic number.

962820 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

962820 is an abundant number, since it is smaller than the sum of its proper divisors (2034300).

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

962820 is a wasteful number, since it uses less digits than its factorization.

962820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801 (or 1793 counting only the distinct ones).

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

The square root of 962820 is about 981.2339170657. The cubic root of 962820 is about 98.7449818526.

It can be divided in two parts, 96 and 2820, that added together give a square (2916 = 54²).

The spelling of 962820 in words is "nine hundred sixty-two thousand, eight hundred twenty".