16961520 has 80 divisors (see below), whose sum is σ = 54416160. Its totient is φ = 4365312.

The previous prime is 16961513. The next prime is 16961521. The reversal of 16961520 is 2516961.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16961521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5742 + ... + 8178.

It is an arithmetic number, because the mean of its divisors is an integer number (680202).

Almost surely, 2^16961520 is an apocalyptic number.

16961520 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 16961520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27208080).

16961520 is an abundant number, since it is smaller than the sum of its proper divisors (37454640).

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

16961520 is a wasteful number, since it uses less digits than its factorization.

16961520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2482 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 16961520 is about 4118.4365965740. The cubic root of 16961520 is about 256.9340067854.

The spelling of 16961520 in words is "sixteen million, nine hundred sixty-one thousand, five hundred twenty".