61769280 has 168 divisors, whose sum is σ = 205849728. Its totient is φ = 15685632.

The previous prime is 61769261. The next prime is 61769287. The reversal of 61769280 is 8296716.

It is not an unprimeable number, because it can be changed into a prime (61769287) by changing a digit.

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, 1314217 + ... + 1314263.

It is an arithmetic number, because the mean of its divisors is an integer number (1225296).

Almost surely, 2^61769280 is an apocalyptic number.

61769280 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61769280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102924864).

61769280 is an abundant number, since it is smaller than the sum of its proper divisors (144080448).

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

61769280 is a wasteful number, since it uses less digits than its factorization.

61769280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 61769280 is about 7859.3434840322. The cubic root of 61769280 is about 395.2976019267.

The spelling of 61769280 in words is "sixty-one million, seven hundred sixty-nine thousand, two hundred eighty".