962800 has 60 divisors (see below), whose sum is σ = 2421720. Its totient is φ = 367360.

The previous prime is 962791. The next prime is 962807. The reversal of 962800 is 8269.

962800 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 (25).

It is a plaindrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (962807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11559 + ... + 11641.

It is an arithmetic number, because the mean of its divisors is an integer number (40362).

2⁹⁶²⁸⁰⁰ 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 962800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210860).

962800 is an abundant number, since it is smaller than the sum of its proper divisors (1458920).

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

962800 is a wasteful number, since it uses less digits than its factorization.

962800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 962800 is about 981.2237257629. The cubic root of 962800 is about 98.7442981272.

The spelling of 962800 in words is "nine hundred sixty-two thousand, eight hundred".