667222920 has 640 divisors, whose sum is σ = 2888202240. Its totient is φ = 134369280.

The previous prime is 667222903. The next prime is 667222957. The reversal of 667222920 is 29222766.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9140004 + ... + 9140076.

It is an arithmetic number, because the mean of its divisors is an integer number (4512816).

Almost surely, 2^667222920 is an apocalyptic number.

667222920 is a gapful number since it is divisible by the number (60) 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 667222920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444101120).

667222920 is an abundant number, since it is smaller than the sum of its proper divisors (2220979320).

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

667222920 is a wasteful number, since it uses less digits than its factorization.

667222920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 667222920 is about 25830.6585281909. The cubic root of 667222920 is about 873.8233632150.

It can be divided in two parts, 6672 and 22920, that added together give a palindrome (29592).

The spelling of 667222920 in words is "six hundred sixty-seven million, two hundred twenty-two thousand, nine hundred twenty".