71268660 has 240 divisors, whose sum is σ = 243326160. Its totient is φ = 17418240.

The previous prime is 71268649. The next prime is 71268683. The reversal of 71268660 is 6686217.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 910116 + 70358544 = 954^2 + 8388^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1738240 + ... + 1738280.

It is an arithmetic number, because the mean of its divisors is an integer number (1013859).

Almost surely, 2^71268660 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 71268660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121663080).

71268660 is an abundant number, since it is smaller than the sum of its proper divisors (172057500).

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

71268660 is a wasteful number, since it uses less digits than its factorization.

71268660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 71268660 is about 8442.0767587129. The cubic root of 71268660 is about 414.6034049243.

The spelling of 71268660 in words is "seventy-one million, two hundred sixty-eight thousand, six hundred sixty".