61480368 has 60 divisors (see below), whose sum is σ = 176078760. Its totient is φ = 20014848.

The previous prime is 61480337. The next prime is 61480379. The reversal of 61480368 is 86308416.

It is a happy number.

61480368 is a `hidden beast` number, since 614 + 8 + 0 + 36 + 8 = 666.

61480368 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 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 11 ways as a sum of consecutive naturals, for example, 1228 + ... + 11156.

It is an arithmetic number, because the mean of its divisors is an integer number (2934646).

Almost surely, 2^61480368 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 61480368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88039380).

61480368 is an abundant number, since it is smaller than the sum of its proper divisors (114598392).

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

61480368 is a wasteful number, since it uses less digits than its factorization.

61480368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9986 (or 9977 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 61480368 is about 7840.9417801690. The cubic root of 61480368 is about 394.6803331543.

The spelling of 61480368 in words is "sixty-one million, four hundred eighty thousand, three hundred sixty-eight".