61793640 has 192 divisors, whose sum is σ = 222393600. Its totient is φ = 14800896.

The previous prime is 61793639. The next prime is 61793647. The reversal of 61793640 is 4639716.

61793640 is a `hidden beast` number, since 6 + 1 + 7 + 9 + 3 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 61793595 and 61793604.

It is not an unprimeable number, because it can be changed into a prime (61793647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140541 + ... + 140979.

It is an arithmetic number, because the mean of its divisors is an integer number (1158300).

Almost surely, 2^61793640 is an apocalyptic number.

61793640 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 61793640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111196800).

61793640 is an abundant number, since it is smaller than the sum of its proper divisors (160599960).

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

61793640 is a wasteful number, since it uses less digits than its factorization.

61793640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 489 counting only the distinct ones).

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

The square root of 61793640 is about 7860.8930790337. The cubic root of 61793640 is about 395.3495597068.

The spelling of 61793640 in words is "sixty-one million, seven hundred ninety-three thousand, six hundred forty".