20375040 has 160 divisors (see below), whose sum is σ = 74638080. Its totient is φ = 4644864.

The previous prime is 20375039. The next prime is 20375041. The reversal of 20375040 is 4057302.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20375039) and next prime (20375041).

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 20374998 and 20375016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20375041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53571 + ... + 53949.

It is an arithmetic number, because the mean of its divisors is an integer number (466488).

Almost surely, 2^20375040 is an apocalyptic number.

20375040 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 20375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37319040).

20375040 is an abundant number, since it is smaller than the sum of its proper divisors (54263040).

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

20375040 is an equidigital number, since it uses as much as digits as its factorization.

20375040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 20375040 is about 4513.8719521050. The cubic root of 20375040 is about 273.1279572979.

The spelling of 20375040 in words is "twenty million, three hundred seventy-five thousand, forty".