67746852 has 72 divisors (see below), whose sum is σ = 177478392. Its totient is φ = 21772800.

The previous prime is 67746827. The next prime is 67746863. The reversal of 67746852 is 25864776.

It can be written as a sum of positive squares in 4 ways, for example, as 8856576 + 58890276 = 2976^2 + 7674^2 .

Its product of digits (564480) is a multiple of the sum of its prime divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 67746798 and 67746807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240952 + ... + 241232.

Almost surely, 2^67746852 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 67746852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88739196).

67746852 is an abundant number, since it is smaller than the sum of its proper divisors (109731540).

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

67746852 is a wasteful number, since it uses less digits than its factorization.

67746852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 504 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 67746852 is about 8230.8475869743. The cubic root of 67746852 is about 407.6583789749.

The spelling of 67746852 in words is "sixty-seven million, seven hundred forty-six thousand, eight hundred fifty-two".