61989624 has 80 divisors (see below), whose sum is σ = 174762720. Its totient is φ = 20528640.

The previous prime is 61989601. The next prime is 61989637. The reversal of 61989624 is 42698916.

It is a happy number.

61989624 is a `hidden beast` number, since 6 + 19 + 8 + 9 + 624 = 666.

It is a super-2 number, since 2×61989624² = 7685426967322752, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 61989624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 175432 + ... + 175784.

It is an arithmetic number, because the mean of its divisors is an integer number (2184534).

Almost surely, 2^61989624 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 61989624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87381360).

61989624 is an abundant number, since it is smaller than the sum of its proper divisors (112773096).

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

61989624 is a wasteful number, since it uses less digits than its factorization.

61989624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 629 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 61989624 is about 7873.3489697841. The cubic root of 61989624 is about 395.7670806592.

The spelling of 61989624 in words is "sixty-one million, nine hundred eighty-nine thousand, six hundred twenty-four".