7436416 has 64 divisors (see below), whose sum is σ = 16493400. Its totient is φ = 3317760.

The previous prime is 7436411. The next prime is 7436423. The reversal of 7436416 is 6146347.

It can be written as a sum of positive squares in 4 ways, for example, as 3841600 + 3594816 = 1960^2 + 1896^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (7436411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68170 + ... + 68278.

Almost surely, 2^7436416 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 7436416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8246700).

7436416 is an abundant number, since it is smaller than the sum of its proper divisors (9056984).

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

7436416 is a wasteful number, since it uses less digits than its factorization.

7436416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 165 counting only the distinct ones).

The product of its digits is 12096, while the sum is 31.

The square root of 7436416 is about 2726.9792811828. The cubic root of 7436416 is about 195.1886493445.

The spelling of 7436416 in words is "seven million, four hundred thirty-six thousand, four hundred sixteen".