67767920 has 80 divisors (see below), whose sum is σ = 175247712. Its totient is φ = 24161280.

The previous prime is 67767911. The next prime is 67767929. The reversal of 67767920 is 2976776.

It is an interprime number because it is at equal distance from previous prime (67767911) and next prime (67767929).

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

It is a super-2 number, since 2×67767920² = 9184981962252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67767929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45914 + ... + 47366.

Almost surely, 2^67767920 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 67767920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87623856).

67767920 is an abundant number, since it is smaller than the sum of its proper divisors (107479792).

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

67767920 is a wasteful number, since it uses less digits than its factorization.

67767920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 44.

The square root of 67767920 is about 8232.1273070817. The cubic root of 67767920 is about 407.7006326312.

The spelling of 67767920 in words is "sixty-seven million, seven hundred sixty-seven thousand, nine hundred twenty".