61588242 has 32 divisors (see below), whose sum is σ = 138604800. Its totient is φ = 20268144.

The previous prime is 61588207. The next prime is 61588243. The reversal of 61588242 is 24288516.

61588242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61588242² = 7586223105301128, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61588197 and 61588206.

It is not an unprimeable number, because it can be changed into a prime (61588243) 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, 2953 + ... + 11484.

It is an arithmetic number, because the mean of its divisors is an integer number (4331400).

Almost surely, 2^61588242 is an apocalyptic number.

61588242 is an abundant number, since it is smaller than the sum of its proper divisors (77016558).

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

61588242 is a wasteful number, since it uses less digits than its factorization.

61588242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14527 (or 14521 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 61588242 is about 7847.8176584322. The cubic root of 61588242 is about 394.9110348163.

It can be divided in two parts, 6158 and 8242, that added together give a square (14400 = 120²).

The spelling of 61588242 in words is "sixty-one million, five hundred eighty-eight thousand, two hundred forty-two".