337068864 has 280 divisors, whose sum is σ = 1141829568. Its totient is φ = 97320960.

The previous prime is 337068857. The next prime is 337068869. The reversal of 337068864 is 468860733.

337068864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×337068864² = 227230838156500992, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (337068869) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1311424 + ... + 1311680.

Almost surely, 2^337068864 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 337068864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570914784).

337068864 is an abundant number, since it is smaller than the sum of its proper divisors (804760704).

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

337068864 is a wasteful number, since it uses less digits than its factorization.

337068864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 337068864 is about 18359.4352854329. The cubic root of 337068864 is about 695.9417311504.

The spelling of 337068864 in words is "three hundred thirty-seven million, sixty-eight thousand, eight hundred sixty-four".