61408880 has 80 divisors (see below), whose sum is σ = 155240064. Its totient is φ = 22456320.

The previous prime is 61408877. The next prime is 61408891. The reversal of 61408880 is 8880416.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 61408880.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 142265 + ... + 142695.

Almost surely, 2^61408880 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 61408880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77620032).

61408880 is an abundant number, since it is smaller than the sum of its proper divisors (93831184).

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

61408880 is a wasteful number, since it uses less digits than its factorization.

61408880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 61408880 is about 7836.3818181607. The cubic root of 61408880 is about 394.5272986625.

The spelling of 61408880 in words is "sixty-one million, four hundred eight thousand, eight hundred eighty".