20093400 has 144 divisors (see below), whose sum is σ = 70363800. Its totient is φ = 5270400.

The previous prime is 20093389. The next prime is 20093401. The reversal of 20093400 is 439002.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20093401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 329370 + ... + 329430.

Almost surely, 2^20093400 is an apocalyptic number.

20093400 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 20093400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35181900).

20093400 is an abundant number, since it is smaller than the sum of its proper divisors (50270400).

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

20093400 is a wasteful number, since it uses less digits than its factorization.

20093400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 20093400 is about 4482.5662292932. The cubic root of 20093400 is about 271.8636499423.

Multiplying 20093400 by its product of nonzero digits (216), we get a square (4340174400 = 65880²).

20093400 divided by its product of nonzero digits (216) gives a square (93025 = 305²).

The spelling of 20093400 in words is "twenty million, ninety-three thousand, four hundred".