62116416 has 112 divisors (see below), whose sum is σ = 184912000. Its totient is φ = 20445696.

The previous prime is 62116403. The next prime is 62116423. The reversal of 62116416 is 61461126.

62116416 is a `hidden beast` number, since 6 + 2 + 11 + 641 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 62116416.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177810 + ... + 178158.

It is an arithmetic number, because the mean of its divisors is an integer number (1651000).

Almost surely, 2^62116416 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 62116416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92456000).

62116416 is an abundant number, since it is smaller than the sum of its proper divisors (122795584).

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

62116416 is a wasteful number, since it uses less digits than its factorization.

62116416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 457 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 62116416 is about 7881.3968305117. The cubic root of 62116416 is about 396.0367275394.

The spelling of 62116416 in words is "sixty-two million, one hundred sixteen thousand, four hundred sixteen".