67970800 has 60 divisors (see below), whose sum is σ = 164192616. Its totient is φ = 27040000.

The previous prime is 67970797. The next prime is 67970801. The reversal of 67970800 is 807976.

It is a self number, because there is not a number n which added to its sum of digits gives 67970800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67970801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100062 + ... + 100738.

Almost surely, 2^67970800 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 67970800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82096308).

67970800 is an abundant number, since it is smaller than the sum of its proper divisors (96221816).

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

67970800 is a wasteful number, since it uses less digits than its factorization.

67970800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 67970800 is about 8244.4405510623. The cubic root of 67970800 is about 408.1070781365.

The spelling of 67970800 in words is "sixty-seven million, nine hundred seventy thousand, eight hundred".