336667968 has 224 divisors, whose sum is σ = 1218712320. Its totient is φ = 88750080.

The previous prime is 336667913. The next prime is 336667987. The reversal of 336667968 is 869766633.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×336667968² = 226690641354498048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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, 156178 + ... + 158318.

It is an arithmetic number, because the mean of its divisors is an integer number (5440680).

Almost surely, 2^336667968 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 336667968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609356160).

336667968 is an abundant number, since it is smaller than the sum of its proper divisors (882044352).

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

336667968 is a wasteful number, since it uses less digits than its factorization.

336667968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182 (or 2166 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The square root of 336667968 is about 18348.5140542770. The cubic root of 336667968 is about 695.6657134285.

The spelling of 336667968 in words is "three hundred thirty-six million, six hundred sixty-seven thousand, nine hundred sixty-eight".