61829856 has 144 divisors (see below), whose sum is σ = 198722160. Its totient is φ = 18063360.

The previous prime is 61829839. The next prime is 61829861. The reversal of 61829856 is 65892816.

61829856 is a `hidden beast` number, since 618 + 29 + 8 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 91536 + ... + 92208.

It is an arithmetic number, because the mean of its divisors is an integer number (1380015).

Almost surely, 2^61829856 is an apocalyptic number.

61829856 is a gapful number since it is divisible by the number (66) 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 61829856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99361080).

61829856 is an abundant number, since it is smaller than the sum of its proper divisors (136892304).

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

61829856 is a wasteful number, since it uses less digits than its factorization.

61829856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 718 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 61829856 is about 7863.1962966722. The cubic root of 61829856 is about 395.4267800778.

The spelling of 61829856 in words is "sixty-one million, eight hundred twenty-nine thousand, eight hundred fifty-six".