667540224 has 576 divisors, whose sum is σ = 2472422400. Its totient is φ = 175177728.

The previous prime is 667540217. The next prime is 667540259. The reversal of 667540224 is 422045766.

It is a tau number, because it is divible by the number of its divisors (576).

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 63 ways as a sum of consecutive naturals, for example, 29023477 + ... + 29023499.

It is an arithmetic number, because the mean of its divisors is an integer number (4292400).

Almost surely, 2^667540224 is an apocalyptic number.

667540224 is a gapful number since it is divisible by the number (64) 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 667540224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236211200).

667540224 is an abundant number, since it is smaller than the sum of its proper divisors (1804882176).

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

667540224 is a wasteful number, since it uses less digits than its factorization.

667540224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 667540224 is about 25836.7998018330. The cubic root of 667540224 is about 873.9618595103.

The spelling of 667540224 in words is "six hundred sixty-seven million, five hundred forty thousand, two hundred twenty-four".