61782912 has 160 divisors (see below), whose sum is σ = 188832600. Its totient is φ = 20044800.

The previous prime is 61782887. The next prime is 61782923. The reversal of 61782912 is 21928716.

61782912 is a `hidden beast` number, since 617 + 8 + 29 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 611662 + ... + 611762.

Almost surely, 2^61782912 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 61782912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94416300).

61782912 is an abundant number, since it is smaller than the sum of its proper divisors (127049688).

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

61782912 is a wasteful number, since it uses less digits than its factorization.

61782912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 165 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 61782912 is about 7860.2106841992. The cubic root of 61782912 is about 395.3266794906.

The spelling of 61782912 in words is "sixty-one million, seven hundred eighty-two thousand, nine hundred twelve".