71146260 has 144 divisors (see below), whose sum is σ = 231154560. Its totient is φ = 17660160.

The previous prime is 71146219. The next prime is 71146267. The reversal of 71146260 is 6264117.

71146260 = T₄₃ + T₄₄ + ... + T₇₅₂.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71146267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242674 + ... + 242966.

It is an arithmetic number, because the mean of its divisors is an integer number (1605240).

Almost surely, 2^71146260 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71146260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115577280).

71146260 is an abundant number, since it is smaller than the sum of its proper divisors (160008300).

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

71146260 is a wasteful number, since it uses less digits than its factorization.

71146260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 71146260 is about 8434.8242423894. The cubic root of 71146260 is about 414.3659160734.

It can be divided in two parts, 711 and 46260, that added together give a triangular number (46971 = T₃₀₆).

The spelling of 71146260 in words is "seventy-one million, one hundred forty-six thousand, two hundred sixty".