67568640 has 176 divisors, whose sum is σ = 222844608. Its totient is φ = 17465344.

The previous prime is 67568639. The next prime is 67568671. The reversal of 67568640 is 4686576.

It is a happy number.

It is a super-2 number, since 2×67568640² = 9131042222899200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 67568592 and 67568601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 814039 + ... + 814121.

Almost surely, 2^67568640 is an apocalyptic number.

67568640 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 67568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111422304).

67568640 is an abundant number, since it is smaller than the sum of its proper divisors (155275968).

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

67568640 is a wasteful number, since it uses less digits than its factorization.

67568640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 67568640 is about 8220.0145985272. The cubic root of 67568640 is about 407.3006087900.

The spelling of 67568640 in words is "sixty-seven million, five hundred sixty-eight thousand, six hundred forty".