61753680 has 120 divisors (see below), whose sum is σ = 208915200. Its totient is φ = 16346880.

The previous prime is 61753663. The next prime is 61753687. The reversal of 61753680 is 8635716.

61753680 is a `hidden beast` number, since 617 + 5 + 36 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 (61753687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143065 + ... + 143495.

It is an arithmetic number, because the mean of its divisors is an integer number (1740960).

Almost surely, 2^61753680 is an apocalyptic number.

61753680 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 61753680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104457600).

61753680 is an abundant number, since it is smaller than the sum of its proper divisors (147161520).

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

61753680 is a wasteful number, since it uses less digits than its factorization.

61753680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 61753680 is about 7858.3509720551. The cubic root of 61753680 is about 395.2643212960.

The spelling of 61753680 in words is "sixty-one million, seven hundred fifty-three thousand, six hundred eighty".