746016 has 48 divisors (see below), whose sum is σ = 2066400. Its totient is φ = 235008.

The previous prime is 745999. The next prime is 746017. The reversal of 746016 is 610647.

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 nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 746016.

It is not an unprimeable number, because it can be changed into a prime (746017) by changing a digit.

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, 1620 + ... + 2028.

It is an arithmetic number, because the mean of its divisors is an integer number (43050).

2⁷⁴⁶⁰¹⁶ is an apocalyptic number.

746016 is a gapful number since it is divisible by the number (76) 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 746016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033200).

746016 is an abundant number, since it is smaller than the sum of its proper divisors (1320384).

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

746016 is a wasteful number, since it uses less digits than its factorization.

746016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 746016 is about 863.7221775548. The cubic root of 746016 is about 90.6948681975.

The spelling of 746016 in words is "seven hundred forty-six thousand, sixteen".