20739100 has 72 divisors (see below), whose sum is σ = 47996928. Its totient is φ = 7761600.

The previous prime is 20739083. The next prime is 20739101. The reversal of 20739100 is 193702.

It is a super-2 number, since 2×20739100² = 860220537620000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20739101) 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, 163237 + ... + 163363.

It is an arithmetic number, because the mean of its divisors is an integer number (666624).

It is a vampire number, since it can be written as 2300 ⋅ 9017 (with its own digits).

Almost surely, 2^20739100 is an apocalyptic number.

20739100 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 20739100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23998464).

20739100 is an abundant number, since it is smaller than the sum of its proper divisors (27257828).

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

20739100 is a wasteful number, since it uses less digits than its factorization.

20739100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 20739100 is about 4554.0202019754. The cubic root of 20739100 is about 274.7451081716.

The spelling of 20739100 in words is "twenty million, seven hundred thirty-nine thousand, one hundred".