963840 has 72 divisors (see below), whose sum is σ = 3090528. Its totient is φ = 256000.

The previous prime is 963839. The next prime is 963841. The reversal of 963840 is 48369.

It is an interprime number because it is at equal distance from previous prime (963839) and next prime (963841).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 963798 and 963807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (963841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3715 + ... + 3965.

It is an arithmetic number, because the mean of its divisors is an integer number (42924).

2⁹⁶³⁸⁴⁰ 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 963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545264).

963840 is an abundant number, since it is smaller than the sum of its proper divisors (2126688).

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

963840 is a wasteful number, since it uses less digits than its factorization.

963840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 963840 is about 981.7535332251. The cubic root of 963840 is about 98.7798392975.

The spelling of 963840 in words is "nine hundred sixty-three thousand, eight hundred forty".