61353288 has 80 divisors (see below), whose sum is σ = 174334380. Its totient is φ = 20155392.

The previous prime is 61353287. The next prime is 61353293. The reversal of 61353288 is 88235316.

61353288 is a `hidden beast` number, since 613 + 5 + 32 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52099524 + 9253764 = 7218^2 + 3042^2 .

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

It is not an unprimeable number, because it can be changed into a prime (61353287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 46656 + ... + 47952.

Almost surely, 2^61353288 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 61353288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87167190).

61353288 is an abundant number, since it is smaller than the sum of its proper divisors (112981092).

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

61353288 is a wasteful number, since it uses less digits than its factorization.

61353288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1375 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 61353288 is about 7832.8339698988. The cubic root of 61353288 is about 394.4082106562.

The spelling of 61353288 in words is "sixty-one million, three hundred fifty-three thousand, two hundred eighty-eight".