61610652 has 96 divisors (see below), whose sum is σ = 176601600. Its totient is φ = 18475776.

The previous prime is 61610641. The next prime is 61610657. The reversal of 61610652 is 25601616.

It is a happy number.

61610652 is a `hidden beast` number, since 6 + 1 + 6 + 1 + 0 + 652 = 666.

61610652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61610657) 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 31 ways as a sum of consecutive naturals, for example, 41499 + ... + 42957.

It is an arithmetic number, because the mean of its divisors is an integer number (1839600).

Almost surely, 2^61610652 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 61610652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88300800).

61610652 is an abundant number, since it is smaller than the sum of its proper divisors (114990948).

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

61610652 is a wasteful number, since it uses less digits than its factorization.

61610652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 61610652 is about 7849.2453140413. The cubic root of 61610652 is about 394.9589275245.

The spelling of 61610652 in words is "sixty-one million, six hundred ten thousand, six hundred fifty-two".