963900000 has 720 divisors, whose sum is σ = 4287663072. Its totient is φ = 207360000.

The previous prime is 963899927. The next prime is 963900013. The reversal of 963900000 is 9369.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 56699992 + ... + 56700008.

Almost surely, 2^963900000 is an apocalyptic number.

963900000 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 963900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143831536).

963900000 is an abundant number, since it is smaller than the sum of its proper divisors (3323763072).

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

963900000 is an equidigital number, since it uses as much as digits as its factorization.

963900000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 963900000 is about 31046.7389591886. The cubic root of 963900000 is about 987.8188896939.

Adding to 963900000 its reverse (9369), we get a palindrome (963909369).

The spelling of 963900000 in words is "nine hundred sixty-three million, nine hundred thousand".