667728120 has 64 divisors (see below), whose sum is σ = 2006363520. Its totient is φ = 177778304.

The previous prime is 667728119. The next prime is 667728121. The reversal of 667728120 is 21827766.

It is an interprime number because it is at equal distance from previous prime (667728119) and next prime (667728121).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667728121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77887 + ... + 86033.

It is an arithmetic number, because the mean of its divisors is an integer number (31349430).

Almost surely, 2^667728120 is an apocalyptic number.

667728120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

667728120 is an abundant number, since it is smaller than the sum of its proper divisors (1338635400).

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

667728120 is a wasteful number, since it uses less digits than its factorization.

667728120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8844 (or 8840 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 667728120 is about 25840.4357548397. The cubic root of 667728120 is about 874.0438513397.

The spelling of 667728120 in words is "six hundred sixty-seven million, seven hundred twenty-eight thousand, one hundred twenty".