67506920 has 64 divisors (see below), whose sum is σ = 164989440. Its totient is φ = 24710400.

The previous prime is 67506919. The next prime is 67506937. The reversal of 67506920 is 2960576.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67625 + ... + 68615.

It is an arithmetic number, because the mean of its divisors is an integer number (2577960).

Almost surely, 2^67506920 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 67506920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82494720).

67506920 is an abundant number, since it is smaller than the sum of its proper divisors (97482520).

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

67506920 is a wasteful number, since it uses less digits than its factorization.

67506920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 67506920 is about 8216.2594895731. The cubic root of 67506920 is about 407.1765559174.

The spelling of 67506920 in words is "sixty-seven million, five hundred six thousand, nine hundred twenty".