16961340 has 96 divisors (see below), whose sum is σ = 53544960. Its totient is φ = 3974400.

The previous prime is 16961333. The next prime is 16961341. The reversal of 16961340 is 4316961.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 16961298 and 16961307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16961341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20046 + ... + 20874.

It is an arithmetic number, because the mean of its divisors is an integer number (557760).

Almost surely, 2^16961340 is an apocalyptic number.

16961340 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 16961340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26772480).

16961340 is an abundant number, since it is smaller than the sum of its proper divisors (36583620).

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

16961340 is a wasteful number, since it uses less digits than its factorization.

16961340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 16961340 is about 4118.4147435634. The cubic root of 16961340 is about 256.9330978990.

It can be divided in two parts, 169613 and 40, that added together give a triangular number (169653 = T₅₈₂).

The spelling of 16961340 in words is "sixteen million, nine hundred sixty-one thousand, three hundred forty".