61848360 has 256 divisors, whose sum is σ = 240883200. Its totient is φ = 13996800.

The previous prime is 61848359. The next prime is 61848361. The reversal of 61848360 is 6384816.

It is a happy number.

61848360 is a `hidden beast` number, since 618 + 4 + 8 + 36 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (61848359) and next prime (61848361).

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 (61848361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 612310 + ... + 612410.

It is an arithmetic number, because the mean of its divisors is an integer number (940950).

Almost surely, 2^61848360 is an apocalyptic number.

61848360 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 61848360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120441600).

61848360 is an abundant number, since it is smaller than the sum of its proper divisors (179034840).

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

61848360 is a wasteful number, since it uses less digits than its factorization.

61848360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 118 counting only the distinct ones).

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

The square root of 61848360 is about 7864.3728294124. The cubic root of 61848360 is about 395.4662229824.

The spelling of 61848360 in words is "sixty-one million, eight hundred forty-eight thousand, three hundred sixty".