62784480 has 288 divisors, whose sum is σ = 231662592. Its totient is φ = 14248960.

The previous prime is 62784473. The next prime is 62784481. The reversal of 62784480 is 8448726.

62784480 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 not an unprimeable number, because it can be changed into a prime (62784481) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1335817 + ... + 1335863.

It is an arithmetic number, because the mean of its divisors is an integer number (804384).

Almost surely, 2^62784480 is an apocalyptic number.

62784480 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 62784480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115831296).

62784480 is an abundant number, since it is smaller than the sum of its proper divisors (168878112).

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

62784480 is a wasteful number, since it uses less digits than its factorization.

62784480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 62784480 is about 7923.6658182940. The cubic root of 62784480 is about 397.4514635567.

The spelling of 62784480 in words is "sixty-two million, seven hundred eighty-four thousand, four hundred eighty".