61319232 has 168 divisors, whose sum is σ = 199704960. Its totient is φ = 17832960.

The previous prime is 61319201. The next prime is 61319267. The reversal of 61319232 is 23291316.

61319232 is a `hidden beast` number, since 613 + 19 + 2 + 32 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 61319196 and 61319205.

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 23 ways as a sum of consecutive naturals, for example, 142057 + ... + 142487.

It is an arithmetic number, because the mean of its divisors is an integer number (1188720).

Almost surely, 2^61319232 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 61319232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99852480).

61319232 is an abundant number, since it is smaller than the sum of its proper divisors (138385728).

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

61319232 is a wasteful number, since it uses less digits than its factorization.

61319232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 468 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 61319232 is about 7830.6597423206. The cubic root of 61319232 is about 394.3352210768.

The spelling of 61319232 in words is "sixty-one million, three hundred nineteen thousand, two hundred thirty-two".