632676000 has 192 divisors, whose sum is σ = 2261540736. Its totient is φ = 153344000.

The previous prime is 632675983. The next prime is 632676007. The reversal of 632676000 is 676236.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (632676007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129604 + ... + 134396.

It is an arithmetic number, because the mean of its divisors is an integer number (11778858).

Almost surely, 2^632676000 is an apocalyptic number.

632676000 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 632676000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130770368).

632676000 is an abundant number, since it is smaller than the sum of its proper divisors (1628864736).

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

632676000 is a wasteful number, since it uses less digits than its factorization.

632676000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4832 (or 4814 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 632676000 is about 25153.0515047379. The cubic root of 632676000 is about 858.4739477006.

The spelling of 632676000 in words is "six hundred thirty-two million, six hundred seventy-six thousand".