214001840 has 80 divisors (see below), whose sum is σ = 538278048. Its totient is φ = 78655488.

The previous prime is 214001803. The next prime is 214001861. The reversal of 214001840 is 48100412.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360584 + ... + 361176.

Almost surely, 2^214001840 is an apocalyptic number.

214001840 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 214001840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269139024).

214001840 is an abundant number, since it is smaller than the sum of its proper divisors (324276208).

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

214001840 is a wasteful number, since it uses less digits than its factorization.

214001840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 214001840 is about 14628.8017280979. The cubic root of 214001840 is about 598.1441172694.

The spelling of 214001840 in words is "two hundred fourteen million, one thousand, eight hundred forty".