61083936 has 144 divisors (see below), whose sum is σ = 190663200. Its totient is φ = 18973440.

The previous prime is 61083887. The next prime is 61083943. The reversal of 61083936 is 63938016.

It is a happy number.

61083936 is a `hidden beast` number, since 610 + 8 + 3 + 9 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 61083936.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1001346 + ... + 1001406.

It is an arithmetic number, because the mean of its divisors is an integer number (1324050).

Almost surely, 2^61083936 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 61083936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95331600).

61083936 is an abundant number, since it is smaller than the sum of its proper divisors (129579264).

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

61083936 is a wasteful number, since it uses less digits than its factorization.

61083936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 61083936 is about 7815.6212804869. The cubic root of 61083936 is about 393.8301895635.

The spelling of 61083936 in words is "sixty-one million, eighty-three thousand, nine hundred thirty-six".