220167640 has 64 divisors (see below), whose sum is σ = 617621760. Its totient is φ = 68622720.

The previous prime is 220167637. The next prime is 220167641. The reversal of 220167640 is 46761022.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 220167599 and 220167608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220167641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32662 + ... + 38821.

It is an arithmetic number, because the mean of its divisors is an integer number (9650340).

Almost surely, 2^220167640 is an apocalyptic number.

220167640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220167640 is an abundant number, since it is smaller than the sum of its proper divisors (397454120).

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

220167640 is a wasteful number, since it uses less digits than its factorization.

220167640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71512 (or 71508 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 220167640 is about 14838.0470413057. The cubic root of 220167640 is about 603.8343697419.

The spelling of 220167640 in words is "two hundred twenty million, one hundred sixty-seven thousand, six hundred forty".