67677620 has 48 divisors (see below), whose sum is σ = 150427200. Its totient is φ = 25505280.

The previous prime is 67677611. The next prime is 67677653. The reversal of 67677620 is 2677676.

It is a super-3 number, since 3×67677620³ (a number of 24 digits) contains 333 as substring.

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, 91211 + ... + 91949.

It is an arithmetic number, because the mean of its divisors is an integer number (3133900).

Almost surely, 2^67677620 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 67677620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75213600).

67677620 is an abundant number, since it is smaller than the sum of its proper divisors (82749580).

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

67677620 is a wasteful number, since it uses less digits than its factorization.

67677620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 41.

The square root of 67677620 is about 8226.6408697597. The cubic root of 67677620 is about 407.5194666199.

The spelling of 67677620 in words is "sixty-seven million, six hundred seventy-seven thousand, six hundred twenty".