61763840 has 72 divisors (see below), whose sum is σ = 150197208. Its totient is φ = 24330240.

The previous prime is 61763837. The next prime is 61763857. The reversal of 61763840 is 4836716.

It can be written as a sum of positive squares in 4 ways, for example, as 14868736 + 46895104 = 3856^2 + 6848^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 61763840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93110 + ... + 93770.

Almost surely, 2^61763840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61763840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75098604).

61763840 is an abundant number, since it is smaller than the sum of its proper divisors (88433368).

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

61763840 is an equidigital number, since it uses as much as digits as its factorization.

61763840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 61763840 is about 7858.9973915252. The cubic root of 61763840 is about 395.2859970098.

The spelling of 61763840 in words is "sixty-one million, seven hundred sixty-three thousand, eight hundred forty".