61382784 has 64 divisors (see below), whose sum is σ = 172657440. Its totient is φ = 19255296.

The previous prime is 61382777. The next prime is 61382807. The reversal of 61382784 is 48728316.

It is a tau number, because it is divible by the number of its divisors (64).

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, 1827 + ... + 11229.

Almost surely, 2^61382784 is an apocalyptic number.

61382784 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61382784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86328720).

61382784 is an abundant number, since it is smaller than the sum of its proper divisors (111274656).

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

61382784 is a wasteful number, since it uses less digits than its factorization.

61382784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9437 (or 9425 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 61382784 is about 7834.7165870885. The cubic root of 61382784 is about 394.4714053177.

The spelling of 61382784 in words is "sixty-one million, three hundred eighty-two thousand, seven hundred eighty-four".