61588020 has 96 divisors (see below), whose sum is σ = 193842432. Its totient is φ = 14496768.

The previous prime is 61588019. The next prime is 61588081. The reversal of 61588020 is 2088516.

61588020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16224 + ... + 19656.

It is an arithmetic number, because the mean of its divisors is an integer number (2019192).

Almost surely, 2^61588020 is an apocalyptic number.

61588020 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 61588020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96921216).

61588020 is an abundant number, since it is smaller than the sum of its proper divisors (132254412).

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

61588020 is a wasteful number, since it uses less digits than its factorization.

61588020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3481 (or 3479 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 61588020 is about 7847.8035143599. The cubic root of 61588020 is about 394.9105603191.

The spelling of 61588020 in words is "sixty-one million, five hundred eighty-eight thousand, twenty".