61872588 has 108 divisors (see below), whose sum is σ = 175444360. Its totient is φ = 18330624.

The previous prime is 61872581. The next prime is 61872611. The reversal of 61872588 is 88527816.

61872588 is a `hidden beast` number, since 61 + 8 + 7 + 2 + 588 = 666.

It is not an unprimeable number, because it can be changed into a prime (61872581) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 197520 + ... + 197832.

Almost surely, 2^61872588 is an apocalyptic number.

61872588 is a gapful number since it is divisible by the number (68) 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 61872588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87722180).

61872588 is an abundant number, since it is smaller than the sum of its proper divisors (113571772).

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

61872588 is a wasteful number, since it uses less digits than its factorization.

61872588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 354 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The square root of 61872588 is about 7865.9130429976. The cubic root of 61872588 is about 395.5178552047.

The spelling of 61872588 in words is "sixty-one million, eight hundred seventy-two thousand, five hundred eighty-eight".