201872640 has 72 divisors (see below), whose sum is σ = 644743008. Its totient is φ = 53831680.

The previous prime is 201872621. The next prime is 201872647. The reversal of 201872640 is 46278102.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 201872598 and 201872607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201872647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22446 + ... + 30125.

It is an arithmetic number, because the mean of its divisors is an integer number (8954764).

Almost surely, 2^201872640 is an apocalyptic number.

201872640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201872640 is an abundant number, since it is smaller than the sum of its proper divisors (442870368).

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

201872640 is an equidigital number, since it uses as much as digits as its factorization.

201872640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52595 (or 52581 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 201872640 is about 14208.1891879296. The cubic root of 201872640 is about 586.6230913457.

Subtracting from 201872640 its product of nonzero digits (5376), we obtain a square (201867264 = 14208²).

The spelling of 201872640 in words is "two hundred one million, eight hundred seventy-two thousand, six hundred forty".