16761920 has 84 divisors (see below), whose sum is σ = 46474380. Its totient is φ = 5741568.

The previous prime is 16761919. The next prime is 16761923. The reversal of 16761920 is 2916761.

It is a happy number.

16761920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6927424 + 9834496 = 2632^2 + 3136^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 8 and base 16.

It is not an unprimeable number, because it can be changed into a prime (16761923) 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, 15146 + ... + 16214.

Almost surely, 2^16761920 is an apocalyptic number.

16761920 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 16761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23237190).

16761920 is an abundant number, since it is smaller than the sum of its proper divisors (29712460).

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

16761920 is a wasteful number, since it uses less digits than its factorization.

16761920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 16761920 is about 4094.1323867213. The cubic root of 16761920 is about 255.9221768653.

The spelling of 16761920 in words is "sixteen million, seven hundred sixty-one thousand, nine hundred twenty".