61688424 has 64 divisors (see below), whose sum is σ = 177661440. Its totient is φ = 17484480.

The previous prime is 61688401. The next prime is 61688437. The reversal of 61688424 is 42488616.

61688424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20607 + ... + 23409.

It is an arithmetic number, because the mean of its divisors is an integer number (2775960).

Almost surely, 2^61688424 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 61688424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88830720).

61688424 is an abundant number, since it is smaller than the sum of its proper divisors (115973016).

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

61688424 is a wasteful number, since it uses less digits than its factorization.

61688424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2950 (or 2946 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 61688424 is about 7854.1978584703. The cubic root of 61688424 is about 395.1250450656.

The spelling of 61688424 in words is "sixty-one million, six hundred eighty-eight thousand, four hundred twenty-four".