67766640 has 80 divisors (see below), whose sum is σ = 210918048. Its totient is φ = 17998848.

The previous prime is 67766627. The next prime is 67766663. The reversal of 67766640 is 4666776.

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

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 67766592 and 67766601.

It is a congruent number.

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, 89142 + ... + 89898.

Almost surely, 2^67766640 is an apocalyptic number.

67766640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67766640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105459024).

67766640 is an abundant number, since it is smaller than the sum of its proper divisors (143151408).

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

67766640 is a wasteful number, since it uses less digits than its factorization.

67766640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The square root of 67766640 is about 8232.0495625330. The cubic root of 67766640 is about 407.6980657328.

The spelling of 67766640 in words is "sixty-seven million, seven hundred sixty-six thousand, six hundred forty".