200629664 has 48 divisors (see below), whose sum is σ = 421142400. Its totient is φ = 93809664.

The previous prime is 200629609. The next prime is 200629703. The reversal of 200629664 is 466926002.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45944 + ... + 50120.

It is an arithmetic number, because the mean of its divisors is an integer number (8773800).

Almost surely, 2^200629664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200629664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210571200).

200629664 is an abundant number, since it is smaller than the sum of its proper divisors (220512736).

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

200629664 is a wasteful number, since it uses less digits than its factorization.

200629664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4285 (or 4277 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 200629664 is about 14164.3801135101. The cubic root of 200629664 is about 585.4166209434.

The spelling of 200629664 in words is "two hundred million, six hundred twenty-nine thousand, six hundred sixty-four".