963045720 has 512 divisors, whose sum is σ = 4064256000. Its totient is φ = 197406720.

The previous prime is 963045703. The next prime is 963045737. The reversal of 963045720 is 27540369.

It is an interprime number because it is at equal distance from previous prime (963045703) and next prime (963045737).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4029361 + ... + 4029599.

It is an arithmetic number, because the mean of its divisors is an integer number (7938000).

Almost surely, 2^963045720 is an apocalyptic number.

963045720 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 963045720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032128000).

963045720 is an abundant number, since it is smaller than the sum of its proper divisors (3101210280).

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

963045720 is a wasteful number, since it uses less digits than its factorization.

963045720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 963045720 is about 31032.9779428272. The cubic root of 963045720 is about 987.5269772046.

The spelling of 963045720 in words is "nine hundred sixty-three million, forty-five thousand, seven hundred twenty".