10737216 has 84 divisors (see below), whose sum is σ = 35186112. Its totient is φ = 3066624.

The previous prime is 10737211. The next prime is 10737239. The reversal of 10737216 is 61273701.

It is a tau number, because it is divible by the number of its divisors (84).

It is a self number, because there is not a number n which added to its sum of digits gives 10737216.

It is not an unprimeable number, because it can be changed into a prime (10737211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2701 + ... + 5363.

Almost surely, 2^10737216 is an apocalyptic number.

10737216 is a gapful number since it is divisible by the number (16) 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 10737216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17593056).

10737216 is an abundant number, since it is smaller than the sum of its proper divisors (24448896).

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

10737216 is a wasteful number, since it uses less digits than its factorization.

10737216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2688 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 10737216 is about 3276.7691404797. The cubic root of 10737216 is about 220.6127271567.

The spelling of 10737216 in words is "ten million, seven hundred thirty-seven thousand, two hundred sixteen".