16761960 has 96 divisors (see below), whose sum is σ = 55135080. Its totient is φ = 4416000.

The previous prime is 16761929. The next prime is 16761961. The reversal of 16761960 is 6916761.

It can be written as a sum of positive squares in 4 ways, for example, as 15634116 + 1127844 = 3954^2 + 1062^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (16761961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36130 + ... + 36590.

Almost surely, 2^16761960 is an apocalyptic number.

16761960 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 16761960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27567540).

16761960 is an abundant number, since it is smaller than the sum of its proper divisors (38373120).

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

16761960 is a wasteful number, since it uses less digits than its factorization.

16761960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 16761960 is about 4094.1372717582. The cubic root of 16761960 is about 255.9223804394.

The spelling of 16761960 in words is "sixteen million, seven hundred sixty-one thousand, nine hundred sixty".