61538268 has 48 divisors (see below), whose sum is σ = 158143104. Its totient is φ = 18469440.

The previous prime is 61538263. The next prime is 61538273. The reversal of 61538268 is 86283516.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (61538263) and next prime (61538273).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61538263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11946 + ... + 16302.

It is an arithmetic number, because the mean of its divisors is an integer number (3294648).

Almost surely, 2^61538268 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 61538268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79071552).

61538268 is an abundant number, since it is smaller than the sum of its proper divisors (96604836).

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

61538268 is a wasteful number, since it uses less digits than its factorization.

61538268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4482 (or 4480 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 61538268 is about 7844.6330698128. The cubic root of 61538268 is about 394.8041928625.

It can be divided in two parts, 615 and 38268, that added together give a palindrome (38883).

The spelling of 61538268 in words is "sixty-one million, five hundred thirty-eight thousand, two hundred sixty-eight".