67646880 has 192 divisors, whose sum is σ = 270708480. Its totient is φ = 15455232.

The previous prime is 67646851. The next prime is 67646881. The reversal of 67646880 is 8864676.

It is a happy number.

It is a super-2 number, since 2×67646880² = 9152200747468800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (67646881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29122 + ... + 31358.

It is an arithmetic number, because the mean of its divisors is an integer number (1409940).

Almost surely, 2^67646880 is an apocalyptic number.

67646880 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 67646880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135354240).

67646880 is an abundant number, since it is smaller than the sum of its proper divisors (203061600).

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

67646880 is a wasteful number, since it uses less digits than its factorization.

67646880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 67646880 is about 8224.7723372748. The cubic root of 67646880 is about 407.4577571728.

The spelling of 67646880 in words is "sixty-seven million, six hundred forty-six thousand, eight hundred eighty".