633768960 has 352 divisors, whose sum is σ = 2301548544. Its totient is φ = 148684800.

The previous prime is 633768943. The next prime is 633768977. The reversal of 633768960 is 69867336.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (633768943) and next prime (633768977).

It is a tau number, because it is divible by the number of its divisors (352).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20444145 + ... + 20444175.

Almost surely, 2^633768960 is an apocalyptic number.

633768960 is a gapful number since it is divisible by the number (60) 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 633768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150774272).

633768960 is an abundant number, since it is smaller than the sum of its proper divisors (1667779584).

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

633768960 is a wasteful number, since it uses less digits than its factorization.

633768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The square root of 633768960 is about 25174.7683206817. The cubic root of 633768960 is about 858.9680067483.

The spelling of 633768960 in words is "six hundred thirty-three million, seven hundred sixty-eight thousand, nine hundred sixty".