61020960 has 384 divisors, whose sum is σ = 260112384. Its totient is φ = 11612160.

The previous prime is 61020941. The next prime is 61020961. The reversal of 61020960 is 6902016.

61020960 = 953² + 954² + ... + 1015².

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 61020960.

It is not an unprimeable number, because it can be changed into a prime (61020961) 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 63 ways as a sum of consecutive naturals, for example, 480417 + ... + 480543.

It is an arithmetic number, because the mean of its divisors is an integer number (677376).

Almost surely, 2^61020960 is an apocalyptic number.

61020960 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 61020960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130056192).

61020960 is an abundant number, since it is smaller than the sum of its proper divisors (199091424).

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

61020960 is a wasteful number, since it uses less digits than its factorization.

61020960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 61020960 is about 7811.5913871631. The cubic root of 61020960 is about 393.6948000220.

Adding to 61020960 its reverse (6902016), we get a palindrome (67922976).

The spelling of 61020960 in words is "sixty-one million, twenty thousand, nine hundred sixty".