61947360 has 72 divisors (see below), whose sum is σ = 211400280. Its totient is φ = 16518912.

The previous prime is 61947343. The next prime is 61947367. The reversal of 61947360 is 6374916.

61947360 is a `hidden beast` number, since 619 + 4 + 7 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61947367) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20070 + ... + 22949.

It is an arithmetic number, because the mean of its divisors is an integer number (2936115).

Almost surely, 2^61947360 is an apocalyptic number.

61947360 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61947360 is an abundant number, since it is smaller than the sum of its proper divisors (149452920).

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

61947360 is a wasteful number, since it uses less digits than its factorization.

61947360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43040 (or 43029 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 61947360 is about 7870.6645208648. The cubic root of 61947360 is about 395.6771166640.

The spelling of 61947360 in words is "sixty-one million, nine hundred forty-seven thousand, three hundred sixty".