20903400 has 288 divisors, whose sum is σ = 84816000. Its totient is φ = 4717440.

The previous prime is 20903371. The next prime is 20903411. The reversal of 20903400 is 430902.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 264561 + ... + 264639.

It is an arithmetic number, because the mean of its divisors is an integer number (294500).

Almost surely, 2^20903400 is an apocalyptic number.

20903400 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 20903400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42408000).

20903400 is an abundant number, since it is smaller than the sum of its proper divisors (63912600).

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

20903400 is a wasteful number, since it uses less digits than its factorization.

20903400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 96 counting only the distinct ones).

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

The square root of 20903400 is about 4572.0236219862. The cubic root of 20903400 is about 275.4687322812.

Subtracting from 20903400 its product of nonzero digits (216), we obtain a square (20903184 = 4572²).

The spelling of 20903400 in words is "twenty million, nine hundred three thousand, four hundred".