81747120 has 320 divisors, whose sum is σ = 329978880. Its totient is φ = 16257024.

The previous prime is 81747119. The next prime is 81747121. The reversal of 81747120 is 2174718.

It is an interprime number because it is at equal distance from previous prime (81747119) and next prime (81747121).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (81747121) 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, 414862 + ... + 415058.

It is an arithmetic number, because the mean of its divisors is an integer number (1031184).

Almost surely, 2^81747120 is an apocalyptic number.

81747120 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 81747120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164989440).

81747120 is an abundant number, since it is smaller than the sum of its proper divisors (248231760).

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

81747120 is a wasteful number, since it uses less digits than its factorization.

81747120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 81747120 is about 9041.4113942459. The cubic root of 81747120 is about 434.0010901315.

The spelling of 81747120 in words is "eighty-one million, seven hundred forty-seven thousand, one hundred twenty".