61263720 has 288 divisors, whose sum is σ = 243285120. Its totient is φ = 13305600.

The previous prime is 61263667. The next prime is 61263731. The reversal of 61263720 is 2736216.

It is a happy number.

61263720 is a `hidden beast` number, since 6 + 1 + 2 + 637 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 405645 + ... + 405795.

It is an arithmetic number, because the mean of its divisors is an integer number (844740).

Almost surely, 2^61263720 is an apocalyptic number.

61263720 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 61263720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121642560).

61263720 is an abundant number, since it is smaller than the sum of its proper divisors (182021400).

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

61263720 is a wasteful number, since it uses less digits than its factorization.

61263720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 61263720 is about 7827.1144108158. The cubic root of 61263720 is about 394.2161885692.

Adding to 61263720 its reverse (2736216), we get a palindrome (63999936).

The spelling of 61263720 in words is "sixty-one million, two hundred sixty-three thousand, seven hundred twenty".