20167440 has 80 divisors (see below), whose sum is σ = 66210048. Its totient is φ = 5060608.

The previous prime is 20167369. The next prime is 20167463. The reversal of 20167440 is 4476102.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20167440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1609 + ... + 6551.

Almost surely, 2^20167440 is an apocalyptic number.

20167440 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 20167440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33105024).

20167440 is an abundant number, since it is smaller than the sum of its proper divisors (46042608).

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

20167440 is a wasteful number, since it uses less digits than its factorization.

20167440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4976 (or 4970 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 20167440 is about 4490.8172975529. The cubic root of 20167440 is about 272.1971609736.

The spelling of 20167440 in words is "twenty million, one hundred sixty-seven thousand, four hundred forty".