61284816 has 40 divisors (see below), whose sum is σ = 175911360. Its totient is φ = 20428128.

The previous prime is 61284787. The next prime is 61284829. The reversal of 61284816 is 61848216.

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 7 ways as a sum of consecutive naturals, for example, 70500 + ... + 71363.

It is an arithmetic number, because the mean of its divisors is an integer number (4397784).

Almost surely, 2^61284816 is an apocalyptic number.

It is an amenable number.

61284816 is an abundant number, since it is smaller than the sum of its proper divisors (114626544).

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

61284816 is a wasteful number, since it uses less digits than its factorization.

61284816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141880 (or 141868 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 61284816 is about 7828.4619178993. The cubic root of 61284816 is about 394.2614324771.

It can be divided in two parts, 6128481 and 6, that added together give a cube (6128487 = 183³).

The spelling of 61284816 in words is "sixty-one million, two hundred eighty-four thousand, eight hundred sixteen".