667146240 has 384 divisors, whose sum is σ = 2515968000. Its totient is φ = 167215104.

The previous prime is 667146239. The next prime is 667146287. The reversal of 667146240 is 42641766.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×667146240² = 890168211092275200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 667146195 and 667146204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5253057 + ... + 5253183.

It is an arithmetic number, because the mean of its divisors is an integer number (6552000).

Almost surely, 2^667146240 is an apocalyptic number.

667146240 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 667146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257984000).

667146240 is an abundant number, since it is smaller than the sum of its proper divisors (1848821760).

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

667146240 is a wasteful number, since it uses less digits than its factorization.

667146240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 667146240 is about 25829.1742028273. The cubic root of 667146240 is about 873.7898874752.

The spelling of 667146240 in words is "six hundred sixty-seven million, one hundred forty-six thousand, two hundred forty".