963864 has 48 divisors (see below), whose sum is σ = 2850120. Its totient is φ = 291840.

The previous prime is 963863. The next prime is 963871. The reversal of 963864 is 468369.

963864 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 (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (963863) 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, 184 + ... + 1400.

2⁹⁶³⁸⁶⁴ 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 963864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425060).

963864 is an abundant number, since it is smaller than the sum of its proper divisors (1886256).

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

963864 is a wasteful number, since it uses less digits than its factorization.

963864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1233 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 963864 is about 981.7657561761. The cubic root of 963864 is about 98.7806591764.

The spelling of 963864 in words is "nine hundred sixty-three thousand, eight hundred sixty-four".