667629924 has 192 divisors, whose sum is σ = 1853300736. Its totient is φ = 185366016.

The previous prime is 667629917. The next prime is 667629931. The reversal of 667629924 is 429926766.

It is an interprime number because it is at equal distance from previous prime (667629917) and next prime (667629931).

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, 6239479 + ... + 6239585.

It is an arithmetic number, because the mean of its divisors is an integer number (9652608).

Almost surely, 2^667629924 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 667629924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926650368).

667629924 is an abundant number, since it is smaller than the sum of its proper divisors (1185670812).

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

667629924 is a wasteful number, since it uses less digits than its factorization.

667629924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 232 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 51.

The square root of 667629924 is about 25838.5356396217. The cubic root of 667629924 is about 874.0010036521.

The spelling of 667629924 in words is "six hundred sixty-seven million, six hundred twenty-nine thousand, nine hundred twenty-four".