61488416 has 48 divisors (see below), whose sum is σ = 132723360. Its totient is φ = 27809280.

The previous prime is 61488403. The next prime is 61488431.

61488416 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 61488416.

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, 107780 + ... + 108348.

It is an arithmetic number, because the mean of its divisors is an integer number (2765070).

Almost surely, 2^61488416 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 61488416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66361680).

61488416 is an abundant number, since it is smaller than the sum of its proper divisors (71234944).

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

61488416 is a wasteful number, since it uses less digits than its factorization.

61488416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 889 counting only the distinct ones).

The product of its digits is 36864, while the sum is 38.

The square root of 61488416 is about 7841.4549670326. The cubic root of 61488416 is about 394.6975540918.

It can be divided in two parts, 614 and 88416, that multiplied together give a square (54287424 = 7368²).

The spelling of 61488416 in words is "sixty-one million, four hundred eighty-eight thousand, four hundred sixteen".