214769880 has 160 divisors (see below), whose sum is σ = 777546000. Its totient is φ = 52856064.

The previous prime is 214769861. The next prime is 214769881. The reversal of 214769880 is 88967412.

It is a super-2 number, since 2×214769880² = 92252202710428800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214769881) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39571 + ... + 44669.

Almost surely, 2^214769880 is an apocalyptic number.

214769880 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 214769880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388773000).

214769880 is an abundant number, since it is smaller than the sum of its proper divisors (562776120).

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

214769880 is a wasteful number, since it uses less digits than its factorization.

214769880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5135 (or 5122 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 214769880 is about 14655.0291709024. The cubic root of 214769880 is about 598.8588309313.

It can be divided in two parts, 2147 and 69880, that added together give a palindrome (72027).

The spelling of 214769880 in words is "two hundred fourteen million, seven hundred sixty-nine thousand, eight hundred eighty".