667833390 has 256 divisors, whose sum is σ = 2127513600. Its totient is φ = 145926144.

The previous prime is 667833377. The next prime is 667833391. The reversal of 667833390 is 93338766.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667833391) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5909974 + ... + 5910086.

It is an arithmetic number, because the mean of its divisors is an integer number (8310600).

Almost surely, 2^667833390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 667833390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063756800).

667833390 is an abundant number, since it is smaller than the sum of its proper divisors (1459680210).

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

667833390 is a wasteful number, since it uses less digits than its factorization.

667833390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 667833390 is about 25842.4725984183. The cubic root of 667833390 is about 874.0897810920.

The spelling of 667833390 in words is "six hundred sixty-seven million, eight hundred thirty-three thousand, three hundred ninety".