20738000 has 40 divisors (see below), whose sum is σ = 50149320. Its totient is φ = 8294400.

The previous prime is 20737967. The next prime is 20738021. The reversal of 20738000 is 83702.

It can be written as a sum of positive squares in 4 ways, for example, as 4545424 + 16192576 = 2132^2 + 4024^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3185 + ... + 7184.

It is an arithmetic number, because the mean of its divisors is an integer number (1253733).

Almost surely, 2^20738000 is an apocalyptic number.

20738000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20738000 is an abundant number, since it is smaller than the sum of its proper divisors (29411320).

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

20738000 is a wasteful number, since it uses less digits than its factorization.

20738000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10392 (or 10376 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 20738000 is about 4553.8994279628. The cubic root of 20738000 is about 274.7402506005.

The spelling of 20738000 in words is "twenty million, seven hundred thirty-eight thousand".