61837020 has 360 divisors, whose sum is σ = 243326160. Its totient is φ = 13063680.

The previous prime is 61837003. The next prime is 61837043. The reversal of 61837020 is 2073816.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 119 ways as a sum of consecutive naturals, for example, 1508200 + ... + 1508240.

It is an arithmetic number, because the mean of its divisors is an integer number (675906).

Almost surely, 2^61837020 is an apocalyptic number.

61837020 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61837020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121663080).

61837020 is an abundant number, since it is smaller than the sum of its proper divisors (181489140).

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

61837020 is a wasteful number, since it uses less digits than its factorization.

61837020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 61837020 is about 7863.6518234215. The cubic root of 61837020 is about 395.4420517078.

It can be divided in two parts, 6183 and 7020, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 61837020 in words is "sixty-one million, eight hundred thirty-seven thousand, twenty".