81889920 has 256 divisors, whose sum is σ = 331948800. Its totient is φ = 18690048.

The previous prime is 81889919. The next prime is 81889921. The reversal of 81889920 is 2998818.

It is an interprime number because it is at equal distance from previous prime (81889919) and next prime (81889921).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (81889921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120622 + ... + 121298.

It is an arithmetic number, because the mean of its divisors is an integer number (1296675).

Almost surely, 2^81889920 is an apocalyptic number.

81889920 is a gapful number since it is divisible by the number (80) 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 81889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165974400).

81889920 is an abundant number, since it is smaller than the sum of its proper divisors (250058880).

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

81889920 is a wasteful number, since it uses less digits than its factorization.

81889920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 81889920 is about 9049.3049456851. The cubic root of 81889920 is about 434.2536548026.

The spelling of 81889920 in words is "eighty-one million, eight hundred eighty-nine thousand, nine hundred twenty".