61414080 has 448 divisors, whose sum is σ = 259445760. Its totient is φ = 11943936.

The previous prime is 61414079. The next prime is 61414091. The reversal of 61414080 is 8041416.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 61414080.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1659822 + ... + 1659858.

It is an arithmetic number, because the mean of its divisors is an integer number (579120).

Almost surely, 2^61414080 is an apocalyptic number.

61414080 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 61414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129722880).

61414080 is an abundant number, since it is smaller than the sum of its proper divisors (198031680).

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

61414080 is a wasteful number, since it uses less digits than its factorization.

61414080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 61414080 is about 7836.7135969104. The cubic root of 61414080 is about 394.5384343161.

Adding to 61414080 its reverse (8041416), we get a palindrome (69455496).

The spelling of 61414080 in words is "sixty-one million, four hundred fourteen thousand, eighty".