67687920 has 80 divisors (see below), whose sum is σ = 233154720. Its totient is φ = 18049536.

The previous prime is 67687913. The next prime is 67687933. The reversal of 67687920 is 2978676.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13509 + ... + 17828.

It is an arithmetic number, because the mean of its divisors is an integer number (2914434).

Almost surely, 2^67687920 is an apocalyptic number.

67687920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67687920 is an abundant number, since it is smaller than the sum of its proper divisors (165466800).

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

67687920 is a wasteful number, since it uses less digits than its factorization.

67687920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31359 (or 31347 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 67687920 is about 8227.2668608718. The cubic root of 67687920 is about 407.5401393208.

The spelling of 67687920 in words is "sixty-seven million, six hundred eighty-seven thousand, nine hundred twenty".