61436720 has 40 divisors (see below), whose sum is σ = 144663360. Its totient is φ = 24261120.

The previous prime is 61436717. The next prime is 61436729. The reversal of 61436720 is 2763416.

61436720 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 (40).

It is not an unprimeable number, because it can be changed into a prime (61436729) 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 7 ways as a sum of consecutive naturals, for example, 1460 + ... + 11180.

It is an arithmetic number, because the mean of its divisors is an integer number (3616584).

Almost surely, 2^61436720 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 61436720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72331680).

61436720 is an abundant number, since it is smaller than the sum of its proper divisors (83226640).

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

61436720 is a wasteful number, since it uses less digits than its factorization.

61436720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9813 (or 9807 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 61436720 is about 7838.1579468648. The cubic root of 61436720 is about 394.5869099141.

The spelling of 61436720 in words is "sixty-one million, four hundred thirty-six thousand, seven hundred twenty".