214778564 has 144 divisors (see below), whose sum is σ = 525530880. Its totient is φ = 75479040.

The previous prime is 214778549. The next prime is 214778567. The reversal of 214778564 is 465877412.

It is a super-2 number, since 2×214778564² = 92259663107804192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (214778567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2214164 + ... + 2214260.

It is an arithmetic number, because the mean of its divisors is an integer number (3649520).

Almost surely, 2^214778564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214778564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262765440).

214778564 is an abundant number, since it is smaller than the sum of its proper divisors (310752316).

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

214778564 is a wasteful number, since it uses less digits than its factorization.

214778564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 209 counting only the distinct ones).

The product of its digits is 376320, while the sum is 44.

The square root of 214778564 is about 14655.3254484505. The cubic root of 214778564 is about 598.8669022369.

The spelling of 214778564 in words is "two hundred fourteen million, seven hundred seventy-eight thousand, five hundred sixty-four".