214797840 has 80 divisors (see below), whose sum is σ = 674361600. Its totient is φ = 56549376.

The previous prime is 214797833. The next prime is 214797859. The reversal of 214797840 is 48797412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×214797840² = 92276224137331200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 214797792 and 214797801.

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, 13296 + ... + 24624.

It is an arithmetic number, because the mean of its divisors is an integer number (8429520).

Almost surely, 2^214797840 is an apocalyptic number.

214797840 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 214797840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337180800).

214797840 is an abundant number, since it is smaller than the sum of its proper divisors (459563760).

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

214797840 is a wasteful number, since it uses less digits than its factorization.

214797840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11424 (or 11418 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 214797840 is about 14655.9830785929. The cubic root of 214797840 is about 598.8848174528.

The spelling of 214797840 in words is "two hundred fourteen million, seven hundred ninety-seven thousand, eight hundred forty".