20277864 has 128 divisors (see below), whose sum is σ = 61008000. Its totient is φ = 6298560.

The previous prime is 20277847. The next prime is 20277869. The reversal of 20277864 is 46877202.

It is a super-2 number, since 2×20277864² = 822383536804992, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (20277869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332394 + ... + 332454.

It is an arithmetic number, because the mean of its divisors is an integer number (476625).

Almost surely, 2^20277864 is an apocalyptic number.

20277864 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 20277864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30504000).

20277864 is an abundant number, since it is smaller than the sum of its proper divisors (40730136).

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

20277864 is an equidigital number, since it uses as much as digits as its factorization.

20277864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 20277864 is about 4503.0949357081. The cubic root of 20277864 is about 272.6930495239.

The spelling of 20277864 in words is "twenty million, two hundred seventy-seven thousand, eight hundred sixty-four".