61126590 has 64 divisors (see below), whose sum is σ = 172214784. Its totient is φ = 13592448.

The previous prime is 61126573. The next prime is 61126601. The reversal of 61126590 is 9562116.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3837 + ... + 11703.

It is an arithmetic number, because the mean of its divisors is an integer number (2690856).

Almost surely, 2^61126590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61126590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86107392).

61126590 is an abundant number, since it is smaller than the sum of its proper divisors (111088194).

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

61126590 is a wasteful number, since it uses less digits than its factorization.

61126590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7921.

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 61126590 is about 7818.3495700819. The cubic root of 61126590 is about 393.9218368142.

It can be divided in two parts, 61126 and 590, that added together give a palindrome (61716).

The spelling of 61126590 in words is "sixty-one million, one hundred twenty-six thousand, five hundred ninety".