62880 has 48 divisors (see below), whose sum is σ = 199584. Its totient is φ = 16640.

The previous prime is 62873. The next prime is 62897. The reversal of 62880 is 8826.

62880 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 62880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 415 + ... + 545.

It is an arithmetic number, because the mean of its divisors is an integer number (4158).

2⁶²⁸⁸⁰ is an apocalyptic number.

62880 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 62880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99792).

62880 is an abundant number, since it is smaller than the sum of its proper divisors (136704).

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

62880 is a wasteful number, since it uses less digits than its factorization.

62880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 62880 is about 250.7588482985. The cubic root of 62880 is about 39.7652921661.

The spelling of 62880 in words is "sixty-two thousand, eight hundred eighty".