20614100 has 72 divisors (see below), whose sum is σ = 48960408. Its totient is φ = 7488000.

The previous prime is 20614093. The next prime is 20614127. The reversal of 20614100 is 141602.

It can be written as a sum of positive squares in 12 ways, for example, as 5513104 + 15100996 = 2348^2 + 3886^2 .

It is a super-2 number, since 2×20614100² = 849882237620000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131222 + ... + 131378.

Almost surely, 2^20614100 is an apocalyptic number.

20614100 is a gapful number since it is divisible by the number (20) 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 20614100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24480204).

20614100 is an abundant number, since it is smaller than the sum of its proper divisors (28346308).

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

20614100 is a wasteful number, since it uses less digits than its factorization.

20614100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 20614100 is about 4540.2753220482. The cubic root of 20614100 is about 274.1920084893.

Adding to 20614100 its reverse (141602), we get a palindrome (20755702).

The spelling of 20614100 in words is "twenty million, six hundred fourteen thousand, one hundred".