8146060272 has 240 divisors, whose sum is σ = 28800969120. Its totient is φ = 2190440448.

The previous prime is 8146060217. The next prime is 8146060301. The reversal of 8146060272 is 2720606418.

8146060272 is a `hidden beast` number, since 8 + 1 + 46 + 0 + 602 + 7 + 2 = 666.

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 47 ways as a sum of consecutive naturals, for example, 348538 + ... + 371174.

It is an arithmetic number, because the mean of its divisors is an integer number (120004038).

Almost surely, 2^8146060272 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 8146060272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14400484560).

8146060272 is an abundant number, since it is smaller than the sum of its proper divisors (20654908848).

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

8146060272 is a wasteful number, since it uses less digits than its factorization.

8146060272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22685 (or 22666 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 8146060272 is about 90255.5276534352. The cubic root of 8146060272 is about 2012.0983566466.

The spelling of 8146060272 in words is "eight billion, one hundred forty-six million, sixty thousand, two hundred seventy-two".