16829540 has 72 divisors (see below), whose sum is σ = 44308152. Its totient is φ = 5322240.

The previous prime is 16829539. The next prime is 16829551. The reversal of 16829540 is 4592861.

It can be written as a sum of positive squares in 4 ways, for example, as 2328676 + 14500864 = 1526^2 + 3808^2 .

It is a super-2 number, since 2×16829540² = 566466833223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 16829540.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12080 + ... + 13400.

It is an arithmetic number, because the mean of its divisors is an integer number (615391).

Almost surely, 2^16829540 is an apocalyptic number.

16829540 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 16829540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22154076).

16829540 is an abundant number, since it is smaller than the sum of its proper divisors (27478612).

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

16829540 is a wasteful number, since it uses less digits than its factorization.

16829540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 16829540 is about 4102.3822347509. The cubic root of 16829540 is about 256.2658574363.

The spelling of 16829540 in words is "sixteen million, eight hundred twenty-nine thousand, five hundred forty".