61435440 has 120 divisors (see below), whose sum is σ = 225106128. Its totient is φ = 14891520.

The previous prime is 61435421. The next prime is 61435447. The reversal of 61435440 is 4453416.

61435440 is a `hidden beast` number, since 614 + 3 + 5 + 4 + 40 = 666.

61435440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (61435447) 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 23 ways as a sum of consecutive naturals, for example, 4042 + ... + 11798.

Almost surely, 2^61435440 is an apocalyptic number.

61435440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61435440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112553064).

61435440 is an abundant number, since it is smaller than the sum of its proper divisors (163670688).

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

61435440 is a wasteful number, since it uses less digits than its factorization.

61435440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7787 (or 7778 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 61435440 is about 7838.0762946019. The cubic root of 61435440 is about 394.5841695619.

Adding to 61435440 its reverse (4453416), we get a palindrome (65888856).

The spelling of 61435440 in words is "sixty-one million, four hundred thirty-five thousand, four hundred forty".