61857648 has 120 divisors (see below), whose sum is σ = 184698000. Its totient is φ = 19820160.

The previous prime is 61857637. The next prime is 61857661. The reversal of 61857648 is 84675816.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 415078 + ... + 415226.

It is an arithmetic number, because the mean of its divisors is an integer number (1539150).

Almost surely, 2^61857648 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 61857648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92349000).

61857648 is an abundant number, since it is smaller than the sum of its proper divisors (122840352).

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

61857648 is a wasteful number, since it uses less digits than its factorization.

61857648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 185 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 61857648 is about 7864.9633184141. The cubic root of 61857648 is about 395.4860182064.

The spelling of 61857648 in words is "sixty-one million, eight hundred fifty-seven thousand, six hundred forty-eight".