61302416 has 40 divisors (see below), whose sum is σ = 138056640. Its totient is φ = 25824384.

The previous prime is 61302413. The next prime is 61302427. The reversal of 61302416 is 61420316.

It is a happy number.

61302416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 61302391 and 61302400.

It is not an unprimeable number, because it can be changed into a prime (61302413) 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, 1970 + ... + 11246.

It is an arithmetic number, because the mean of its divisors is an integer number (3451416).

Almost surely, 2^61302416 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 61302416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69028320).

61302416 is an abundant number, since it is smaller than the sum of its proper divisors (76754224).

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

61302416 is a wasteful number, since it uses less digits than its factorization.

61302416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9351 (or 9345 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 61302416 is about 7829.5859405207. The cubic root of 61302416 is about 394.2991706833.

The spelling of 61302416 in words is "sixty-one million, three hundred two thousand, four hundred sixteen".