963904368 has 80 divisors (see below), whose sum is σ = 2855817216. Its totient is φ = 274433280.

The previous prime is 963904367. The next prime is 963904373. The reversal of 963904368 is 863409369.

It is a super-2 number, since 2×963904368² = 1858223261298958848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (963904363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93553 + ... + 103343.

Almost surely, 2^963904368 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 963904368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427908608).

963904368 is an abundant number, since it is smaller than the sum of its proper divisors (1891912848).

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

963904368 is a wasteful number, since it uses less digits than its factorization.

963904368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10102 (or 10096 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The square root of 963904368 is about 31046.8093046612. The cubic root of 963904368 is about 987.8203818218.

The spelling of 963904368 in words is "nine hundred sixty-three million, nine hundred four thousand, three hundred sixty-eight".