71084160 has 384 divisors, whose sum is σ = 294053760. Its totient is φ = 15482880.

The previous prime is 71084159. The next prime is 71084161. The reversal of 71084160 is 6148017.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (71084159) and next prime (71084161).

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

It is not an unprimeable number, because it can be changed into a prime (71084161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1653099 + ... + 1653141.

It is an arithmetic number, because the mean of its divisors is an integer number (765765).

Almost surely, 2^71084160 is an apocalyptic number.

71084160 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 71084160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147026880).

71084160 is an abundant number, since it is smaller than the sum of its proper divisors (222969600).

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

71084160 is a wasteful number, since it uses less digits than its factorization.

71084160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 71084160 is about 8431.1422713651. The cubic root of 71084160 is about 414.2453212416.

The spelling of 71084160 in words is "seventy-one million, eighty-four thousand, one hundred sixty".