61238268 has 240 divisors, whose sum is σ = 206424064. Its totient is φ = 15396480.

The previous prime is 61238249. The next prime is 61238323. The reversal of 61238268 is 86283216.

61238268 is a `hidden beast` number, since 612 + 38 + 2 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 913971 + ... + 914037.

Almost surely, 2^61238268 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 61238268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103212032).

61238268 is an abundant number, since it is smaller than the sum of its proper divisors (145185796).

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

61238268 is a wasteful number, since it uses less digits than its factorization.

61238268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 123 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 61238268 is about 7825.4883553680. The cubic root of 61238268 is about 394.1615886622.

The spelling of 61238268 in words is "sixty-one million, two hundred thirty-eight thousand, two hundred sixty-eight".