61130368 has 64 divisors (see below), whose sum is σ = 138930120. Its totient is φ = 26542080.

The previous prime is 61130341. The next prime is 61130371. The reversal of 61130368 is 86303116.

It can be written as a sum of positive squares in 4 ways, for example, as 52881984 + 8248384 = 7272^2 + 2872^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27208 + ... + 29368.

Almost surely, 2^61130368 is an apocalyptic number.

61130368 is a gapful number since it is divisible by the number (68) 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 61130368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69465060).

61130368 is an abundant number, since it is smaller than the sum of its proper divisors (77799752).

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

61130368 is a wasteful number, since it uses less digits than its factorization.

61130368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2205 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 61130368 is about 7818.5911774437. The cubic root of 61130368 is about 393.9299522461.

The spelling of 61130368 in words is "sixty-one million, one hundred thirty thousand, three hundred sixty-eight".