61601568 has 144 divisors (see below), whose sum is σ = 193152960. Its totient is φ = 16837632.

The previous prime is 61601549. The next prime is 61601569. The reversal of 61601568 is 86510616.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (61601569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 565098 + ... + 565206.

It is an arithmetic number, because the mean of its divisors is an integer number (1341340).

Almost surely, 2^61601568 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 61601568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96576480).

61601568 is an abundant number, since it is smaller than the sum of its proper divisors (131551392).

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

61601568 is a wasteful number, since it uses less digits than its factorization.

61601568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 61601568 is about 7848.6666383533. Note that the first 4 decimals coincide. The cubic root of 61601568 is about 394.9395153876.

The spelling of 61601568 in words is "sixty-one million, six hundred one thousand, five hundred sixty-eight".