963380 has 48 divisors (see below), whose sum is σ = 2298240. Its totient is φ = 336000.

The previous prime is 963379. The next prime is 963397. The reversal of 963380 is 83369.

963380 = 58² + 59² + ... + 145².

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6305 + ... + 6455.

It is an arithmetic number, because the mean of its divisors is an integer number (47880).

2⁹⁶³³⁸⁰ 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 963380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149120).

963380 is an abundant number, since it is smaller than the sum of its proper divisors (1334860).

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

963380 is a wasteful number, since it uses less digits than its factorization.

963380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 963380 is about 981.5192305808. The cubic root of 963380 is about 98.7641223193.

It can be divided in two parts, 963 and 380, that multiplied together give a triangular number (365940 = T₈₅₅).

The spelling of 963380 in words is "nine hundred sixty-three thousand, three hundred eighty".