81095040 has 384 divisors, whose sum is σ = 326440800. Its totient is φ = 18911232.

The previous prime is 81095029. The next prime is 81095051. The reversal of 81095040 is 4059018.

It is an interprime number because it is at equal distance from previous prime (81095029) and next prime (81095051).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 81094995 and 81095013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4268151 + ... + 4268169.

Almost surely, 2^81095040 is an apocalyptic number.

81095040 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 81095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163220400).

81095040 is an abundant number, since it is smaller than the sum of its proper divisors (245345760).

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

81095040 is a wasteful number, since it uses less digits than its factorization.

81095040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 81095040 is about 9005.2784521080. The cubic root of 81095040 is about 432.8440288995.

Adding to 81095040 its product of nonzero digits (1440), we get a triangular number (81096480 = T₁₂₇₃₅).

The spelling of 81095040 in words is "eighty-one million, ninety-five thousand, forty".