67249056 has 192 divisors, whose sum is σ = 222566400. Its totient is φ = 17335296.

The previous prime is 67249051. The next prime is 67249069. The reversal of 67249056 is 65094276.

It is a super-2 number, since 2×67249056² = 9044871065782272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67249051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293550 + ... + 293778.

It is an arithmetic number, because the mean of its divisors is an integer number (1159200).

Almost surely, 2^67249056 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 67249056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111283200).

67249056 is an abundant number, since it is smaller than the sum of its proper divisors (155317344).

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

67249056 is a wasteful number, since it uses less digits than its factorization.

67249056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 67249056 is about 8200.5521765306. The cubic root of 67249056 is about 406.6574479083.

The spelling of 67249056 in words is "sixty-seven million, two hundred forty-nine thousand, fifty-six".