963506880 has 448 divisors, whose sum is σ = 3950208000. Its totient is φ = 216539136.

The previous prime is 963506879. The next prime is 963506881. The reversal of 963506880 is 88605369.

963506880 is a `hidden beast` number, since 9 + 63 + 506 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (963506879) and next prime (963506881).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (963506881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5382631 + ... + 5382809.

Almost surely, 2^963506880 is an apocalyptic number.

963506880 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 963506880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1975104000).

963506880 is an abundant number, since it is smaller than the sum of its proper divisors (2986701120).

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

963506880 is a wasteful number, since it uses less digits than its factorization.

963506880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 963506880 is about 31040.4072138237. The cubic root of 963506880 is about 987.6845797147.

The spelling of 963506880 in words is "nine hundred sixty-three million, five hundred six thousand, eight hundred eighty".