61056000 has 264 divisors, whose sum is σ = 224171064. Its totient is φ = 15974400.

The previous prime is 61055999. The next prime is 61056041. The reversal of 61056000 is 65016.

61056000 is a `hidden beast` number, since 61 + 0 + 5 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 589824 + 60466176 = 768^2 + 7776^2 .

It is a hoax number, since the sum of its digits (18) 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1151974 + ... + 1152026.

Almost surely, 2^61056000 is an apocalyptic number.

61056000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112085532).

61056000 is an abundant number, since it is smaller than the sum of its proper divisors (163115064).

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

61056000 is a wasteful number, since it uses less digits than its factorization.

61056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 61056000 is about 7813.8338861279. The cubic root of 61056000 is about 393.7701425826.

The spelling of 61056000 in words is "sixty-one million, fifty-six thousand".