61619220 has 144 divisors (see below), whose sum is σ = 213267600. Its totient is φ = 14266368.

The previous prime is 61619197. The next prime is 61619221. The reversal of 61619220 is 2291616.

It can be written as a sum of positive squares in 8 ways, for example, as 2452356 + 59166864 = 1566^2 + 7692^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61619221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39006 + ... + 40554.

It is an arithmetic number, because the mean of its divisors is an integer number (1481025).

Almost surely, 2^61619220 is an apocalyptic number.

61619220 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 61619220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106633800).

61619220 is an abundant number, since it is smaller than the sum of its proper divisors (151648380).

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

61619220 is a wasteful number, since it uses less digits than its factorization.

61619220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 61619220 is about 7849.7910800224. The cubic root of 61619220 is about 394.9772352420.

The spelling of 61619220 in words is "sixty-one million, six hundred nineteen thousand, two hundred twenty".