5462016 has 96 divisors (see below), whose sum is σ = 16773120. Its totient is φ = 1548288.

The previous prime is 5462003. The next prime is 5462033. The reversal of 5462016 is 6102645.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42945 + ... + 43071.

It is an arithmetic number, because the mean of its divisors is an integer number (174720).

Almost surely, 2^5462016 is an apocalyptic number.

5462016 is a gapful number since it is divisible by the number (56) 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 5462016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8386560).

5462016 is an abundant number, since it is smaller than the sum of its proper divisors (11311104).

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

5462016 is a wasteful number, since it uses less digits than its factorization.

5462016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 5462016 is about 2337.0956334733. The cubic root of 5462016 is about 176.1101239181.

The spelling of 5462016 in words is "five million, four hundred sixty-two thousand, sixteen".