214057740 has 96 divisors (see below), whose sum is σ = 659312640. Its totient is φ = 51561216.

The previous prime is 214057663. The next prime is 214057771. The reversal of 214057740 is 47750412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 214057698 and 214057707.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33741 + ... + 39579.

It is an arithmetic number, because the mean of its divisors is an integer number (6867840).

Almost surely, 2^214057740 is an apocalyptic number.

214057740 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 214057740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329656320).

214057740 is an abundant number, since it is smaller than the sum of its proper divisors (445254900).

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

214057740 is a wasteful number, since it uses less digits than its factorization.

214057740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5911 (or 5909 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 214057740 is about 14630.7122177972. The cubic root of 214057740 is about 598.1961936834.

The spelling of 214057740 in words is "two hundred fourteen million, fifty-seven thousand, seven hundred forty".