61827840 has 144 divisors (see below), whose sum is σ = 219525600. Its totient is φ = 16478208.

The previous prime is 61827833. The next prime is 61827847. The reversal of 61827840 is 4872816.

61827840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61827833) and next prime (61827847).

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

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 = 61827795 and 61827804.

It is not an unprimeable number, because it can be changed into a prime (61827847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33666 + ... + 35454.

Almost surely, 2^61827840 is an apocalyptic number.

61827840 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 61827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109762800).

61827840 is an abundant number, since it is smaller than the sum of its proper divisors (157697760).

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

61827840 is a wasteful number, since it uses less digits than its factorization.

61827840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 61827840 is about 7863.0681034823. The cubic root of 61827840 is about 395.4224823210.

The spelling of 61827840 in words is "sixty-one million, eight hundred twenty-seven thousand, eight hundred forty".