61678848 has 216 divisors, whose sum is σ = 209714400. Its totient is φ = 15912960.

The previous prime is 61678843. The next prime is 61678867. The reversal of 61678848 is 84887616.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 61678797 and 61678806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61678843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413878 + ... + 414026.

It is an arithmetic number, because the mean of its divisors is an integer number (970900).

Almost surely, 2^61678848 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 61678848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104857200).

61678848 is an abundant number, since it is smaller than the sum of its proper divisors (148035552).

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

61678848 is a wasteful number, since it uses less digits than its factorization.

61678848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 172 counting only the distinct ones).

The product of its digits is 516096, while the sum is 48.

The square root of 61678848 is about 7853.5882244997. The cubic root of 61678848 is about 395.1045986944.

It can be divided in two parts, 61678 and 848, that added together give a palindrome (62526).

The spelling of 61678848 in words is "sixty-one million, six hundred seventy-eight thousand, eight hundred forty-eight".