647634000 has 480 divisors, whose sum is σ = 2476341504. Its totient is φ = 144460800.

The previous prime is 647633971. The next prime is 647634007. The reversal of 647634000 is 436746.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (647634007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28157989 + ... + 28158011.

Almost surely, 2^647634000 is an apocalyptic number.

647634000 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 647634000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238170752).

647634000 is an abundant number, since it is smaller than the sum of its proper divisors (1828707504).

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

647634000 is a wasteful number, since it uses less digits than its factorization.

647634000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 647634000 is about 25448.6541883849. The cubic root of 647634000 is about 865.1867907167.

The spelling of 647634000 in words is "six hundred forty-seven million, six hundred thirty-four thousand".