61629820 has 48 divisors (see below), whose sum is σ = 149022720. Its totient is φ = 20971584.

The previous prime is 61629791. The next prime is 61629833. The reversal of 61629820 is 2892616.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17877 + ... + 21043.

It is an arithmetic number, because the mean of its divisors is an integer number (3104640).

Almost surely, 2^61629820 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 61629820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74511360).

61629820 is an abundant number, since it is smaller than the sum of its proper divisors (87392900).

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

61629820 is a wasteful number, since it uses less digits than its factorization.

61629820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3322 (or 3320 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 61629820 is about 7850.4662281931. The cubic root of 61629820 is about 394.9998824974. Note that the first 3 decimals are identical.

The spelling of 61629820 in words is "sixty-one million, six hundred twenty-nine thousand, eight hundred twenty".