61314648 has 64 divisors (see below), whose sum is σ = 164799360. Its totient is φ = 18940416.

The previous prime is 61314647. The next prime is 61314679. The reversal of 61314648 is 84641316.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61314647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26215 + ... + 28457.

It is an arithmetic number, because the mean of its divisors is an integer number (2574990).

Almost surely, 2^61314648 is an apocalyptic number.

61314648 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 61314648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82399680).

61314648 is an abundant number, since it is smaller than the sum of its proper divisors (103484712).

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

61314648 is a wasteful number, since it uses less digits than its factorization.

61314648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2336 (or 2332 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 61314648 is about 7830.3670412057. The cubic root of 61314648 is about 394.3253944822.

The spelling of 61314648 in words is "sixty-one million, three hundred fourteen thousand, six hundred forty-eight".