16117020 has 144 divisors (see below), whose sum is σ = 54250560. Its totient is φ = 3852288.

The previous prime is 16116983. The next prime is 16117033. The reversal of 16117020 is 2071161.

16117020 = T₁ + T₂ + ... + T₄₅₈.

16117020 is a nontrivial binomial coefficient, being equal to C(460, 3).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 16116984 and 16117002.

It is a congruent number.

It is an unprimeable number.

It is the 458-th tetrahedral number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70266 + ... + 70494.

It is an arithmetic number, because the mean of its divisors is an integer number (376740).

Almost surely, 2^16117020 is an apocalyptic number.

16117020 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 16117020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27125280).

16117020 is an abundant number, since it is smaller than the sum of its proper divisors (38133540).

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

16117020 is a wasteful number, since it uses less digits than its factorization.

16117020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 16117020 is about 4014.6008518905. The cubic root of 16117020 is about 252.5970348875.

Adding to 16117020 its reverse (2071161), we get a palindrome (18188181).

The spelling of 16117020 in words is "sixteen million, one hundred seventeen thousand, twenty".