61101040 has 240 divisors, whose sum is σ = 195924960. Its totient is φ = 17418240.

The previous prime is 61101037. The next prime is 61101059. The reversal of 61101040 is 4010116.

61101040 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 (13).

It is a self number, because there is not a number n which added to its sum of digits gives 61101040.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 560506 + ... + 560614.

It is an arithmetic number, because the mean of its divisors is an integer number (816354).

Almost surely, 2^61101040 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 61101040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97962480).

61101040 is an abundant number, since it is smaller than the sum of its proper divisors (134823920).

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

61101040 is a wasteful number, since it uses less digits than its factorization.

61101040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 61101040 is about 7816.7154227335. The cubic root of 61101040 is about 393.8669446876.

Adding to 61101040 its reverse (4010116), we get a palindrome (65111156).

It can be divided in two parts, 61 and 101040, that added together give a palindrome (101101).

The spelling of 61101040 in words is "sixty-one million, one hundred one thousand, forty".