61335360 has 224 divisors, whose sum is σ = 224332800. Its totient is φ = 15759360.

The previous prime is 61335343. The next prime is 61335361. The reversal of 61335360 is 6353316.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61335361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267726 + ... + 267954.

Almost surely, 2^61335360 is an apocalyptic number.

61335360 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61335360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112166400).

61335360 is an abundant number, since it is smaller than the sum of its proper divisors (162997440).

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

61335360 is a wasteful number, since it uses less digits than its factorization.

61335360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 61335360 is about 7831.6894729043. The cubic root of 61335360 is about 394.3697903342.

Adding to 61335360 its reverse (6353316), we get a palindrome (67688676).

The spelling of 61335360 in words is "sixty-one million, three hundred thirty-five thousand, three hundred sixty".