20427264 has 240 divisors, whose sum is σ = 71495424. Its totient is φ = 5529600.

The previous prime is 20427257. The next prime is 20427271. The reversal of 20427264 is 46272402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20427257) and next prime (20427271).

It is a super-2 number, since 2×20427264² = 834546229051392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 658929 + ... + 658959.

Almost surely, 2^20427264 is an apocalyptic number.

20427264 is a gapful number since it is divisible by the number (24) 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 20427264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35747712).

20427264 is an abundant number, since it is smaller than the sum of its proper divisors (51068160).

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

20427264 is a wasteful number, since it uses less digits than its factorization.

20427264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 20427264 is about 4519.6530840320. The cubic root of 20427264 is about 273.3611129146.

Adding to 20427264 its reverse (46272402), we get a palindrome (66699666).

The spelling of 20427264 in words is "twenty million, four hundred twenty-seven thousand, two hundred sixty-four".