61285952 has 112 divisors (see below), whose sum is σ = 158739840. Its totient is φ = 22781952.

The previous prime is 61285951. The next prime is 61285981. The reversal of 61285952 is 25958216.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61285951) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 98699 + ... + 99317.

It is an arithmetic number, because the mean of its divisors is an integer number (1417320).

Almost surely, 2^61285952 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 61285952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79369920).

61285952 is an abundant number, since it is smaller than the sum of its proper divisors (97453888).

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

61285952 is a wasteful number, since it uses less digits than its factorization.

61285952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 658 counting only the distinct ones).

The product of its digits is 43200, while the sum is 38.

The square root of 61285952 is about 7828.5344733226. The cubic root of 61285952 is about 394.2638685249.

The spelling of 61285952 in words is "sixty-one million, two hundred eighty-five thousand, nine hundred fifty-two".