61793280 has 220 divisors, whose sum is σ = 222918300. Its totient is φ = 16367616.

The previous prime is 61793269. The next prime is 61793311. The reversal of 61793280 is 8239716.

61793280 is a `hidden beast` number, since 617 + 9 + 32 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14017536 + 47775744 = 3744^2 + 6912^2 .

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

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 19 ways as a sum of consecutive naturals, for example, 414646 + ... + 414794.

It is an arithmetic number, because the mean of its divisors is an integer number (1013265).

Almost surely, 2^61793280 is an apocalyptic number.

61793280 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 61793280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111459150).

61793280 is an abundant number, since it is smaller than the sum of its proper divisors (161125020).

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

61793280 is a wasteful number, since it uses less digits than its factorization.

61793280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 61793280 is about 7860.8701808388. The cubic root of 61793280 is about 395.3487919573.

The spelling of 61793280 in words is "sixty-one million, seven hundred ninety-three thousand, two hundred eighty".