61493760 has 240 divisors, whose sum is σ = 226934136. Its totient is φ = 15335424.

The previous prime is 61493713. The next prime is 61493771. The reversal of 61493760 is 6739416.

61493760 is a `hidden beast` number, since 614 + 9 + 37 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 51151104 + 10342656 = 7152^2 + 3216^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391602 + ... + 391758.

Almost surely, 2^61493760 is an apocalyptic number.

61493760 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 61493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113467068).

61493760 is an abundant number, since it is smaller than the sum of its proper divisors (165440376).

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

61493760 is a wasteful number, since it uses less digits than its factorization.

61493760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 184 counting only the distinct ones).

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

The square root of 61493760 is about 7841.7957127178. The cubic root of 61493760 is about 394.7089882381.

The spelling of 61493760 in words is "sixty-one million, four hundred ninety-three thousand, seven hundred sixty".