61767552 has 128 divisors (see below), whose sum is σ = 204652800. Its totient is φ = 16035840.

The previous prime is 61767551. The next prime is 61767553. The reversal of 61767552 is 25576716.

It is an interprime number because it is at equal distance from previous prime (61767551) and next prime (61767553).

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 61767552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61767551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28524 + ... + 30612.

It is an arithmetic number, because the mean of its divisors is an integer number (1598850).

Almost surely, 2^61767552 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 61767552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102326400).

61767552 is an abundant number, since it is smaller than the sum of its proper divisors (142885248).

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

61767552 is a wasteful number, since it uses less digits than its factorization.

61767552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124 (or 2112 counting only the distinct ones).

The product of its digits is 88200, while the sum is 39.

The square root of 61767552 is about 7859.2335504170. The cubic root of 61767552 is about 395.2939157329.

The spelling of 61767552 in words is "sixty-one million, seven hundred sixty-seven thousand, five hundred fifty-two".