200672640 has 480 divisors, whose sum is σ = 844192800. Its totient is φ = 45287424.

The previous prime is 200672611. The next prime is 200672653. The reversal of 200672640 is 46276002.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2540121 + ... + 2540199.

It is an arithmetic number, because the mean of its divisors is an integer number (1758735).

Almost surely, 2^200672640 is an apocalyptic number.

200672640 is a gapful number since it is divisible by the number (20) 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 200672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422096400).

200672640 is an abundant number, since it is smaller than the sum of its proper divisors (643520160).

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

200672640 is an equidigital number, since it uses as much as digits as its factorization.

200672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 200672640 is about 14165.8970771356. The cubic root of 200672640 is about 585.4584178010.

200672640 divided by its product of nonzero digits (4032) gives a triangular number (49770 = T₃₁₅).

The spelling of 200672640 in words is "two hundred million, six hundred seventy-two thousand, six hundred forty".