20974080 has 80 divisors (see below), whose sum is σ = 67076064. Its totient is φ = 5591040.

The previous prime is 20974049. The next prime is 20974111. The reversal of 20974080 is 8047902.

It is an interprime number because it is at equal distance from previous prime (20974049) and next prime (20974111).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 4.

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, 6315 + ... + 9045.

Almost surely, 2^20974080 is an apocalyptic number.

20974080 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 20974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33538032).

20974080 is an abundant number, since it is smaller than the sum of its proper divisors (46101984).

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

20974080 is an equidigital number, since it uses as much as digits as its factorization.

20974080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2757 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 20974080 is about 4579.7467178874. The cubic root of 20974080 is about 275.7788608815.

The spelling of 20974080 in words is "twenty million, nine hundred seventy-four thousand, eighty".