632695140 has 288 divisors, whose sum is σ = 2415329280. Its totient is φ = 130233600.

The previous prime is 632695127. The next prime is 632695199. The reversal of 632695140 is 41596236.

It is a happy number.

632695140 is a `hidden beast` number, since 632 + 6 + 9 + 5 + 14 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 632695095 and 632695104.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2647141 + ... + 2647379.

It is an arithmetic number, because the mean of its divisors is an integer number (8386560).

Almost surely, 2^632695140 is an apocalyptic number.

632695140 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 632695140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207664640).

632695140 is an abundant number, since it is smaller than the sum of its proper divisors (1782634140).

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

632695140 is a wasteful number, since it uses less digits than its factorization.

632695140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 632695140 is about 25153.4319725957. The cubic root of 632695140 is about 858.4826045938.

The spelling of 632695140 in words is "six hundred thirty-two million, six hundred ninety-five thousand, one hundred forty".