61603776 has 168 divisors, whose sum is σ = 200629520. Its totient is φ = 17915904.

The previous prime is 61603747. The next prime is 61603777. The reversal of 61603776 is 67730616.

61603776 is a `hidden beast` number, since 616 + 0 + 37 + 7 + 6 = 666.

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 61603776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61603777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142056 + ... + 142488.

Almost surely, 2^61603776 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 61603776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100314760).

61603776 is an abundant number, since it is smaller than the sum of its proper divisors (139025744).

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

61603776 is a wasteful number, since it uses less digits than its factorization.

61603776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 61603776 is about 7848.8072979275. The cubic root of 61603776 is about 394.9442339689.

The spelling of 61603776 in words is "sixty-one million, six hundred three thousand, seven hundred seventy-six".