61642384 has 60 divisors (see below), whose sum is σ = 130519920. Its totient is φ = 28123200.

The previous prime is 61642381. The next prime is 61642397. The reversal of 61642384 is 48324616.

It is not an unprimeable number, because it can be changed into a prime (61642381) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 292039 + ... + 292249.

It is an arithmetic number, because the mean of its divisors is an integer number (2175332).

Almost surely, 2^61642384 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 61642384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65259960).

61642384 is an abundant number, since it is smaller than the sum of its proper divisors (68877536).

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

61642384 is a wasteful number, since it uses less digits than its factorization.

61642384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 263 counting only the distinct ones).

The product of its digits is 27648, while the sum is 34.

The square root of 61642384 is about 7851.2663946653. The cubic root of 61642384 is about 395.0267225419.

It can be divided in two parts, 61642 and 384, that added together give a palindrome (62026).

The spelling of 61642384 in words is "sixty-one million, six hundred forty-two thousand, three hundred eighty-four".