632066760 has 192 divisors, whose sum is σ = 2282083200. Its totient is φ = 155540736.

The previous prime is 632066723. The next prime is 632066797. The reversal of 632066760 is 67660236.

It is an interprime number because it is at equal distance from previous prime (632066723) and next prime (632066797).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 180789 + ... + 184251.

It is an arithmetic number, because the mean of its divisors is an integer number (11885850).

Almost surely, 2^632066760 is an apocalyptic number.

632066760 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 632066760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141041600).

632066760 is an abundant number, since it is smaller than the sum of its proper divisors (1650016440).

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

632066760 is a wasteful number, since it uses less digits than its factorization.

632066760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3509 (or 3486 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 632066760 is about 25140.9379299978. The cubic root of 632066760 is about 858.1983012724.

The spelling of 632066760 in words is "six hundred thirty-two million, sixty-six thousand, seven hundred sixty".