61119440 has 40 divisors (see below), whose sum is σ = 143381448. Its totient is φ = 24227840.

The previous prime is 61119419. The next prime is 61119463. The reversal of 61119440 is 4491116.

61119440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1459264 + 59660176 = 1208^2 + 7724^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 5660 + ... + 12420.

Almost surely, 2^61119440 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 61119440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71690724).

61119440 is an abundant number, since it is smaller than the sum of its proper divisors (82262008).

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

61119440 is a wasteful number, since it uses less digits than its factorization.

61119440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6887 (or 6881 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 61119440 is about 7817.8922990791. The cubic root of 61119440 is about 393.9064771540.

It can be divided in two parts, 6111 and 9440, that added together give a palindrome (15551).

The spelling of 61119440 in words is "sixty-one million, one hundred nineteen thousand, four hundred forty".