61881632 has 48 divisors (see below), whose sum is σ = 135807840. Its totient is φ = 27583488.

The previous prime is 61881623. The next prime is 61881653. The reversal of 61881632 is 23618816.

It is a junction number, because it is equal to n+sod(n) for n = 61881592 and 61881601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7343 + ... + 13329.

It is an arithmetic number, because the mean of its divisors is an integer number (2829330).

Almost surely, 2^61881632 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 61881632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67903920).

61881632 is an abundant number, since it is smaller than the sum of its proper divisors (73926208).

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

61881632 is a wasteful number, since it uses less digits than its factorization.

61881632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6033 (or 6025 counting only the distinct ones).

The product of its digits is 13824, while the sum is 35.

The square root of 61881632 is about 7866.4879075735. The cubic root of 61881632 is about 395.5371253927.

The spelling of 61881632 in words is "sixty-one million, eight hundred eighty-one thousand, six hundred thirty-two".