963820 has 48 divisors (see below), whose sum is σ = 2384928. Its totient is φ = 322560.

The previous prime is 963817. The next prime is 963839. The reversal of 963820 is 28369.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2692 + ... + 3028.

It is an arithmetic number, because the mean of its divisors is an integer number (49686).

2⁹⁶³⁸²⁰ 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 963820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192464).

963820 is an abundant number, since it is smaller than the sum of its proper divisors (1421108).

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

963820 is a wasteful number, since it uses less digits than its factorization.

963820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 963820 is about 981.7433473164. The cubic root of 963820 is about 98.7791560546.

It can be divided in two parts, 96 and 3820, that added together give a triangular number (3916 = T₈₈).

The spelling of 963820 in words is "nine hundred sixty-three thousand, eight hundred twenty".