62961080 has 128 divisors (see below), whose sum is σ = 178416000. Its totient is φ = 19869696.

The previous prime is 62961071. The next prime is 62961109. The reversal of 62961080 is 8016926.

62961080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178184 + ... + 178536.

It is an arithmetic number, because the mean of its divisors is an integer number (1393875).

Almost surely, 2^62961080 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 62961080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89208000).

62961080 is an abundant number, since it is smaller than the sum of its proper divisors (115454920).

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

62961080 is a wasteful number, since it uses less digits than its factorization.

62961080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 62961080 is about 7934.8018248725. The cubic root of 62961080 is about 397.8237648065.

The spelling of 62961080 in words is "sixty-two million, nine hundred sixty-one thousand, eighty".