61871328 has 36 divisors (see below), whose sum is σ = 175947408. Its totient is φ = 20623680.

The previous prime is 61871323. The next prime is 61871333. The reversal of 61871328 is 82317816.

61871328 is a `hidden beast` number, since 618 + 7 + 1 + 32 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (61871323) and next prime (61871333).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×61871328² = 7656122456967168, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 61871292 and 61871301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61871323) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 107128 + ... + 107703.

It is an arithmetic number, because the mean of its divisors is an integer number (4887428).

Almost surely, 2^61871328 is an apocalyptic number.

It is an amenable number.

61871328 is an abundant number, since it is smaller than the sum of its proper divisors (114076080).

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

61871328 is a wasteful number, since it uses less digits than its factorization.

61871328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214847 (or 214836 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 61871328 is about 7865.8329501713. The cubic root of 61871328 is about 395.5151703545.

The spelling of 61871328 in words is "sixty-one million, eight hundred seventy-one thousand, three hundred twenty-eight".