61225584 has 80 divisors (see below), whose sum is σ = 184654848. Its totient is φ = 17116416.

The previous prime is 61225561. The next prime is 61225597. The reversal of 61225584 is 48552216.

61225584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61225584² = 7497144272282112, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 13854 + ... + 17730.

Almost surely, 2^61225584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61225584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92327424).

61225584 is an abundant number, since it is smaller than the sum of its proper divisors (123429264).

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

61225584 is a wasteful number, since it uses less digits than its factorization.

61225584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3942 (or 3936 counting only the distinct ones).

The product of its digits is 19200, while the sum is 33.

The square root of 61225584 is about 7824.6778847439. The cubic root of 61225584 is about 394.1343731592.

The spelling of 61225584 in words is "sixty-one million, two hundred twenty-five thousand, five hundred eighty-four".