61829820 has 72 divisors (see below), whose sum is σ = 201985056. Its totient is φ = 15219072.

The previous prime is 61829791. The next prime is 61829839. The reversal of 61829820 is 2892816.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10872 + ... + 15551.

It is an arithmetic number, because the mean of its divisors is an integer number (2805348).

Almost surely, 2^61829820 is an apocalyptic number.

61829820 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61829820 is an abundant number, since it is smaller than the sum of its proper divisors (140155236).

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

61829820 is a wasteful number, since it uses less digits than its factorization.

61829820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26451 (or 26446 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 61829820 is about 7863.1940075265. The cubic root of 61829820 is about 395.4267033329.

The spelling of 61829820 in words is "sixty-one million, eight hundred twenty-nine thousand, eight hundred twenty".