61616448 has 84 divisors (see below), whose sum is σ = 184330848. Its totient is φ = 19641600.

The previous prime is 61616419. The next prime is 61616479. The reversal of 61616448 is 84461616.

61616448 is a `hidden beast` number, since 6 + 1 + 6 + 1 + 644 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10923 + ... + 15573.

Almost surely, 2^61616448 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 61616448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92165424).

61616448 is an abundant number, since it is smaller than the sum of its proper divisors (122714400).

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

61616448 is a wasteful number, since it uses less digits than its factorization.

61616448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4692 (or 4679 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 61616448 is about 7849.6145128280. The cubic root of 61616448 is about 394.9713123427.

The spelling of 61616448 in words is "sixty-one million, six hundred sixteen thousand, four hundred forty-eight".