632096640 has 384 divisors, whose sum is σ = 2545283520. Its totient is φ = 141557760.

The previous prime is 632096639. The next prime is 632096671. The reversal of 632096640 is 46690236.

632096640 is a `hidden beast` number, since 6 + 3 + 2 + 0 + 9 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 632096595 and 632096604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2459392 + ... + 2459648.

Almost surely, 2^632096640 is an apocalyptic number.

632096640 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 632096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272641760).

632096640 is an abundant number, since it is smaller than the sum of its proper divisors (1913186880).

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

632096640 is a wasteful number, since it uses less digits than its factorization.

632096640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 632096640 is about 25141.5321728808. The cubic root of 632096640 is about 858.2118244015.

The spelling of 632096640 in words is "six hundred thirty-two million, ninety-six thousand, six hundred forty".