71085840 has 320 divisors, whose sum is σ = 282839040. Its totient is φ = 14376960.

The previous prime is 71085827. The next prime is 71085863. The reversal of 71085840 is 4858017.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 542575 + ... + 542705.

It is an arithmetic number, because the mean of its divisors is an integer number (883872).

Almost surely, 2^71085840 is an apocalyptic number.

71085840 is a gapful number since it is divisible by the number (70) 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 71085840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141419520).

71085840 is an abundant number, since it is smaller than the sum of its proper divisors (211753200).

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

71085840 is a wasteful number, since it uses less digits than its factorization.

71085840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 71085840 is about 8431.2419014046. The cubic root of 71085840 is about 414.2485846346.

The spelling of 71085840 in words is "seventy-one million, eighty-five thousand, eight hundred forty".