61988220 has 288 divisors, whose sum is σ = 237834240. Its totient is φ = 13115520.

The previous prime is 61988177. The next prime is 61988221. The reversal of 61988220 is 2288916.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61988221) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1999605 + ... + 1999635.

Almost surely, 2^61988220 is an apocalyptic number.

61988220 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 61988220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118917120).

61988220 is an abundant number, since it is smaller than the sum of its proper divisors (175846020).

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

61988220 is a wasteful number, since it uses less digits than its factorization.

61988220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 71 counting only the distinct ones).

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

The square root of 61988220 is about 7873.2598077289. The cubic root of 61988220 is about 395.7640927335.

The spelling of 61988220 in words is "sixty-one million, nine hundred eighty-eight thousand, two hundred twenty".