67913000 has 64 divisors (see below), whose sum is σ = 160589520. Its totient is φ = 26880000.

The previous prime is 67912993. The next prime is 67913003. The reversal of 67913000 is 31976.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 114244 + 67798756 = 338^2 + 8234^2 .

It is a super-2 number, since 2×67913000² = 9224351138000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (67913003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112700 + ... + 113300.

Almost surely, 2^67913000 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 67913000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80294760).

67913000 is an abundant number, since it is smaller than the sum of its proper divisors (92676520).

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

67913000 is a wasteful number, since it uses less digits than its factorization.

67913000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 26.

The square root of 67913000 is about 8240.9344130384. The cubic root of 67913000 is about 407.9913653177.

Adding to 67913000 its reverse (31976), we get a palindrome (67944976).

The spelling of 67913000 in words is "sixty-seven million, nine hundred thirteen thousand".