61277328 has 240 divisors, whose sum is σ = 211700736. Its totient is φ = 16174080.

The previous prime is 61277327. The next prime is 61277339. The reversal of 61277328 is 82377216.

61277328 is a `hidden beast` number, since 61 + 277 + 328 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 61277292 and 61277301.

It is not an unprimeable number, because it can be changed into a prime (61277327) 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, 1156150 + ... + 1156202.

Almost surely, 2^61277328 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 61277328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105850368).

61277328 is an abundant number, since it is smaller than the sum of its proper divisors (150423408).

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

61277328 is a wasteful number, since it uses less digits than its factorization.

61277328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 133 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 61277328 is about 7827.9836484244. The cubic root of 61277328 is about 394.2453743948.

The spelling of 61277328 in words is "sixty-one million, two hundred seventy-seven thousand, three hundred twenty-eight".