214155760 has 160 divisors (see below), whose sum is σ = 639959040. Its totient is φ = 64779264.

The previous prime is 214155743. The next prime is 214155769. The reversal of 214155760 is 67551412.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214155769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166801 + ... + 168079.

It is an arithmetic number, because the mean of its divisors is an integer number (3999744).

Almost surely, 2^214155760 is an apocalyptic number.

214155760 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 214155760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319979520).

214155760 is an abundant number, since it is smaller than the sum of its proper divisors (425803280).

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

214155760 is a wasteful number, since it uses less digits than its factorization.

214155760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 214155760 is about 14634.0616371532. The cubic root of 214155760 is about 598.2874871871.

The spelling of 214155760 in words is "two hundred fourteen million, one hundred fifty-five thousand, seven hundred sixty".