61588080 has 80 divisors (see below), whose sum is σ = 212144160. Its totient is φ = 16422912.

The previous prime is 61588019. The next prime is 61588081. The reversal of 61588080 is 8088516.

61588080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61588081) 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 15 ways as a sum of consecutive naturals, for example, 12097 + ... + 16416.

It is an arithmetic number, because the mean of its divisors is an integer number (2651802).

Almost surely, 2^61588080 is an apocalyptic number.

61588080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61588080 is an abundant number, since it is smaller than the sum of its proper divisors (150556080).

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

61588080 is a wasteful number, since it uses less digits than its factorization.

61588080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28535 (or 28523 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 61588080 is about 7847.8073370847. The cubic root of 61588080 is about 394.9106885617.

The spelling of 61588080 in words is "sixty-one million, five hundred eighty-eight thousand, eighty".