61868772 has 126 divisors (see below), whose sum is σ = 189270438. Its totient is φ = 17635968.

The previous prime is 61868759. The next prime is 61868809. The reversal of 61868772 is 27786816.

It can be written as a sum of positive squares in only one way, i.e., 41293476 + 20575296 = 6426^2 + 4536^2 .

It is a tau number, because it is divible by the number of its divisors (126).

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 41 ways as a sum of consecutive naturals, for example, 142668 + ... + 143100.

Almost surely, 2^61868772 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 61868772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94635219).

61868772 is an abundant number, since it is smaller than the sum of its proper divisors (127401666).

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

61868772 is a wasteful number, since it uses less digits than its factorization.

61868772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 445 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 61868772 is about 7865.6704736469. The cubic root of 61868772 is about 395.5097238322.

The spelling of 61868772 in words is "sixty-one million, eight hundred sixty-eight thousand, seven hundred seventy-two".