81940950 has 384 divisors, whose sum is σ = 299980800. Its totient is φ = 15966720.

The previous prime is 81940949. The next prime is 81940951. The reversal of 81940950 is 5904918.

It is an interprime number because it is at equal distance from previous prime (81940949) and next prime (81940951).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81940951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2825536 + ... + 2825564.

It is an arithmetic number, because the mean of its divisors is an integer number (781200).

Almost surely, 2^81940950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81940950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149990400).

81940950 is an abundant number, since it is smaller than the sum of its proper divisors (218039850).

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

81940950 is a wasteful number, since it uses less digits than its factorization.

81940950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 81940950 is about 9052.1240601309. The cubic root of 81940950 is about 434.3438383180.

The spelling of 81940950 in words is "eighty-one million, nine hundred forty thousand, nine hundred fifty".