61866288 has 160 divisors (see below), whose sum is σ = 198558720. Its totient is φ = 18282240.

The previous prime is 61866271. The next prime is 61866307. The reversal of 61866288 is 88266816.

61866288 is a `hidden beast` number, since 6 + 18 + 6 + 628 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223206 + ... + 223482.

It is an arithmetic number, because the mean of its divisors is an integer number (1240992).

Almost surely, 2^61866288 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 61866288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99279360).

61866288 is an abundant number, since it is smaller than the sum of its proper divisors (136692432).

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

61866288 is a wasteful number, since it uses less digits than its factorization.

61866288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 340 counting only the distinct ones).

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

The square root of 61866288 is about 7865.5125707102. The cubic root of 61866288 is about 395.5044305894.

The spelling of 61866288 in words is "sixty-one million, eight hundred sixty-six thousand, two hundred eighty-eight".