61411680 has 144 divisors (see below), whose sum is σ = 228677904. Its totient is φ = 14883840.

The previous prime is 61411661. The next prime is 61411681. The reversal of 61411680 is 8611416.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61411681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13902 + ... + 17778.

It is an arithmetic number, because the mean of its divisors is an integer number (1588041).

Almost surely, 2^61411680 is an apocalyptic number.

61411680 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 61411680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114338952).

61411680 is an abundant number, since it is smaller than the sum of its proper divisors (167266224).

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

61411680 is a wasteful number, since it uses less digits than its factorization.

61411680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3909 (or 3898 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 61411680 is about 7836.5604700021. The cubic root of 61411680 is about 394.5332948618.

The spelling of 61411680 in words is "sixty-one million, four hundred eleven thousand, six hundred eighty".