220672540 has 72 divisors (see below), whose sum is σ = 517352976. Its totient is φ = 78988800.

The previous prime is 220672531. The next prime is 220672547. The reversal of 220672540 is 45276022.

It is a junction number, because it is equal to n+sod(n) for n = 220672499 and 220672508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220672547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161460 + ... + 162820.

It is an arithmetic number, because the mean of its divisors is an integer number (7185458).

Almost surely, 2^220672540 is an apocalyptic number.

220672540 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 220672540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258676488).

220672540 is an abundant number, since it is smaller than the sum of its proper divisors (296680436).

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

220672540 is a wasteful number, since it uses less digits than its factorization.

220672540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 220672540 is about 14855.0509928442. The cubic root of 220672540 is about 604.2955989174.

The spelling of 220672540 in words is "two hundred twenty million, six hundred seventy-two thousand, five hundred forty".