61813648 has 40 divisors (see below), whose sum is σ = 131741568. Its totient is φ = 27917952.

The previous prime is 61813621. The next prime is 61813681. The reversal of 61813648 is 84631816.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

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, 6615 + ... + 12937.

Almost surely, 2^61813648 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 61813648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65870784).

61813648 is an abundant number, since it is smaller than the sum of its proper divisors (69927920).

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

61813648 is a wasteful number, since it uses less digits than its factorization.

61813648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6391 (or 6385 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The square root of 61813648 is about 7862.1656049717. The cubic root of 61813648 is about 395.3922248334.

The spelling of 61813648 in words is "sixty-one million, eight hundred thirteen thousand, six hundred forty-eight".