81988192 has 192 divisors, whose sum is σ = 213373440. Its totient is φ = 30412800.

The previous prime is 81988171. The next prime is 81988219. The reversal of 81988192 is 29188918.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1999692 + ... + 1999732.

It is an arithmetic number, because the mean of its divisors is an integer number (1111320).

Almost surely, 2^81988192 is an apocalyptic number.

81988192 is a gapful number since it is divisible by the number (82) 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 81988192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106686720).

81988192 is an abundant number, since it is smaller than the sum of its proper divisors (131385248).

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

81988192 is a wasteful number, since it uses less digits than its factorization.

81988192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 109 counting only the distinct ones).

The product of its digits is 82944, while the sum is 46.

The square root of 81988192 is about 9054.7331269342. The cubic root of 81988192 is about 434.4272940647.

The spelling of 81988192 in words is "eighty-one million, nine hundred eighty-eight thousand, one hundred ninety-two".