61258080 has 96 divisors (see below), whose sum is σ = 207827424. Its totient is φ = 15077376.

The previous prime is 61258079. The next prime is 61258129. The reversal of 61258080 is 8085216.

61258080 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1332 + ... + 11148.

It is an arithmetic number, because the mean of its divisors is an integer number (2164869).

Almost surely, 2^61258080 is an apocalyptic number.

61258080 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 61258080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103913712).

61258080 is an abundant number, since it is smaller than the sum of its proper divisors (146569344).

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

61258080 is a wasteful number, since it uses less digits than its factorization.

61258080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9848 (or 9840 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 61258080 is about 7826.7541164904. The cubic root of 61258080 is about 394.2040908843.

The spelling of 61258080 in words is "sixty-one million, two hundred fifty-eight thousand, eighty".