67646040 has 128 divisors (see below), whose sum is σ = 253048320. Its totient is φ = 14054400.

The previous prime is 67646039. The next prime is 67646071. The reversal of 67646040 is 4064676.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 67645992 and 67646010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5580 + ... + 12900.

It is an arithmetic number, because the mean of its divisors is an integer number (1976940).

Almost surely, 2^67646040 is an apocalyptic number.

67646040 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 67646040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126524160).

67646040 is an abundant number, since it is smaller than the sum of its proper divisors (185402280).

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

67646040 is a wasteful number, since it uses less digits than its factorization.

67646040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7353 (or 7349 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 67646040 is about 8224.7212718730. The cubic root of 67646040 is about 407.4560706406.

The spelling of 67646040 in words is "sixty-seven million, six hundred forty-six thousand, forty".