5032416 has 96 divisors (see below), whose sum is σ = 14515200. Its totient is φ = 1520640.

The previous prime is 5032411. The next prime is 5032427. The reversal of 5032416 is 6142305.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 5032392 and 5032401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5032411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56500 + ... + 56588.

It is an arithmetic number, because the mean of its divisors is an integer number (151200).

Almost surely, 2^5032416 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 5032416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7257600).

5032416 is an abundant number, since it is smaller than the sum of its proper divisors (9482784).

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

5032416 is a wasteful number, since it uses less digits than its factorization.

5032416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 5032416 is about 2243.3047051170. The cubic root of 5032416 is about 171.3663361390.

The spelling of 5032416 in words is "five million, thirty-two thousand, four hundred sixteen".