16961440 has 48 divisors (see below), whose sum is σ = 40334112. Its totient is φ = 6740224.

The previous prime is 16961437. The next prime is 16961447. The reversal of 16961440 is 4416961.

It is not an unprimeable number, because it can be changed into a prime (16961447) 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, 36087 + ... + 36553.

It is an arithmetic number, because the mean of its divisors is an integer number (840294).

Almost surely, 2^16961440 is an apocalyptic number.

16961440 is a gapful number since it is divisible by the number (10) 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 16961440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20167056).

16961440 is an abundant number, since it is smaller than the sum of its proper divisors (23372672).

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

16961440 is a wasteful number, since it uses less digits than its factorization.

16961440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 16961440 is about 4118.4268841391. The cubic root of 16961440 is about 256.9336028367.

It can be divided in two parts, 1696 and 1440, that added together give a square (3136 = 56²).

The spelling of 16961440 in words is "sixteen million, nine hundred sixty-one thousand, four hundred forty".