214133760 has 176 divisors, whose sum is σ = 761484000. Its totient is φ = 57065472.

The previous prime is 214133753. The next prime is 214133761. The reversal of 214133760 is 67331412.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (214133761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137466 + ... + 139014.

Almost surely, 2^214133760 is an apocalyptic number.

214133760 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 214133760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380742000).

214133760 is an abundant number, since it is smaller than the sum of its proper divisors (547350240).

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

214133760 is a wasteful number, since it uses less digits than its factorization.

214133760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 214133760 is about 14633.3099468302. The cubic root of 214133760 is about 598.2669993337.

The spelling of 214133760 in words is "two hundred fourteen million, one hundred thirty-three thousand, seven hundred sixty".