61414320 has 160 divisors (see below), whose sum is σ = 212914944. Its totient is φ = 14515200.

The previous prime is 61414313. The next prime is 61414343. The reversal of 61414320 is 2341416.

61414320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 113250 + ... + 113790.

Almost surely, 2^61414320 is an apocalyptic number.

61414320 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 61414320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106457472).

61414320 is an abundant number, since it is smaller than the sum of its proper divisors (151500624).

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

61414320 is a wasteful number, since it uses less digits than its factorization.

61414320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 61414320 is about 7836.7289094366. The cubic root of 61414320 is about 394.5389482542.

Adding to 61414320 its reverse (2341416), we get a palindrome (63755736).

The spelling of 61414320 in words is "sixty-one million, four hundred fourteen thousand, three hundred twenty".