962120 has 32 divisors (see below), whose sum is σ = 2203200. Its totient is φ = 378048.

The previous prime is 962119. The next prime is 962131. The reversal of 962120 is 21269.

962120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 962092 and 962101.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 962120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2501 + ... + 2859.

It is an arithmetic number, because the mean of its divisors is an integer number (68850).

2⁹⁶²¹²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 962120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101600).

962120 is an abundant number, since it is smaller than the sum of its proper divisors (1241080).

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

962120 is a wasteful number, since it uses less digits than its factorization.

962120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 962120 is about 980.8771584658. The cubic root of 962120 is about 98.7210458295.

Adding to 962120 its reverse (21269), we get a palindrome (983389).

It can be divided in two parts, 962 and 120, that multiplied together give a triangular number (115440 = T₄₈₀).

The spelling of 962120 in words is "nine hundred sixty-two thousand, one hundred twenty".