61238880 has 216 divisors, whose sum is σ = 223252848. Its totient is φ = 15257088.

The previous prime is 61238833. The next prime is 61238887. The reversal of 61238880 is 8883216.

61238880 is a `hidden beast` number, since 612 + 38 + 8 + 8 + 0 = 666.

61238880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (61238887) 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 35 ways as a sum of consecutive naturals, for example, 1424139 + ... + 1424181.

It is an arithmetic number, because the mean of its divisors is an integer number (1033578).

Almost surely, 2^61238880 is an apocalyptic number.

61238880 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 61238880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111626424).

61238880 is an abundant number, since it is smaller than the sum of its proper divisors (162013968).

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

61238880 is a wasteful number, since it uses less digits than its factorization.

61238880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 61238880 is about 7825.5274582612. The cubic root of 61238880 is about 394.1629017088.

The spelling of 61238880 in words is "sixty-one million, two hundred thirty-eight thousand, eight hundred eighty".