61338888 has 108 divisors (see below), whose sum is σ = 182457405. Its totient is φ = 18607680.

The previous prime is 61338847. The next prime is 61338899. The reversal of 61338888 is 88883316.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 52446564 + 8892324 = 7242^2 + 2982^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=5538.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 863893 + ... + 863963.

Almost surely, 2^61338888 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 61338888

61338888 is an abundant number, since it is smaller than the sum of its proper divisors (121118517).

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

61338888 is a wasteful number, since it uses less digits than its factorization.

61338888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 89 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 61338888 is about 7831.9147084222. The cubic root of 61338888 is about 394.3773515515.

It can be divided in two parts, 61338 and 888, that added together give a palindrome (62226).

The spelling of 61338888 in words is "sixty-one million, three hundred thirty-eight thousand, eight hundred eighty-eight".