81214056 has 256 divisors, whose sum is σ = 297216000. Its totient is φ = 19906560.

The previous prime is 81214051. The next prime is 81214069. The reversal of 81214056 is 65041218.

It is a super-2 number, since 2×81214056² = 13191445783942272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81214051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 315880 + ... + 316136.

It is an arithmetic number, because the mean of its divisors is an integer number (1161000).

Almost surely, 2^81214056 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 81214056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148608000).

81214056 is an abundant number, since it is smaller than the sum of its proper divisors (216001944).

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

81214056 is a wasteful number, since it uses less digits than its factorization.

81214056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 81214056 is about 9011.8841537161. The cubic root of 81214056 is about 433.0556743301.

The spelling of 81214056 in words is "eighty-one million, two hundred fourteen thousand, fifty-six".