736416 has 36 divisors (see below), whose sum is σ = 2095002. Its totient is φ = 245376.

The previous prime is 736409. The next prime is 736429. The reversal of 736416 is 614637.

It can be written as a sum of positive squares in only one way, i.e., 646416 + 90000 = 804^2 + 300^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 736416.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 991 + ... + 1566.

2⁷³⁶⁴¹⁶ is an apocalyptic number.

It is an amenable number.

736416 is an abundant number, since it is smaller than the sum of its proper divisors (1358586).

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

736416 is a wasteful number, since it uses less digits than its factorization.

736416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2573 (or 2562 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 736416 is about 858.1468405815. The cubic root of 736416 is about 90.3041561278.

The spelling of 736416 in words is "seven hundred thirty-six thousand, four hundred sixteen".