61085952 has 54 divisors (see below), whose sum is σ = 176132502. Its totient is φ = 20361216.

The previous prime is 61085917. The next prime is 61085963. The reversal of 61085952 is 25958016.

It is a happy number.

61085952 is a `hidden beast` number, since 61 + 0 + 8 + 595 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43243776 + 17842176 = 6576^2 + 4224^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10953 + ... + 15560.

It is an arithmetic number, because the mean of its divisors is an integer number (3261713).

Almost surely, 2^61085952 is an apocalyptic number.

It is an amenable number.

61085952 is an abundant number, since it is smaller than the sum of its proper divisors (115046550).

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

61085952 is a wasteful number, since it uses less digits than its factorization.

61085952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26535 (or 26518 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 61085952 is about 7815.7502518952. The cubic root of 61085952 is about 393.8345221425.

The spelling of 61085952 in words is "sixty-one million, eighty-five thousand, nine hundred fifty-two".