20967408 has 240 divisors, whose sum is σ = 76756992. Its totient is φ = 5184000.

The previous prime is 20967391. The next prime is 20967413. The reversal of 20967408 is 80476902.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 343698 + ... + 343758.

Almost surely, 2^20967408 is an apocalyptic number.

20967408 is a gapful number since it is divisible by the number (28) 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 20967408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38378496).

20967408 is an abundant number, since it is smaller than the sum of its proper divisors (55789584).

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

20967408 is a wasteful number, since it uses less digits than its factorization.

20967408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 20967408 is about 4579.0182353863. The cubic root of 20967408 is about 275.7496153922.

The spelling of 20967408 in words is "twenty million, nine hundred sixty-seven thousand, four hundred eight".