214035780 has 192 divisors, whose sum is σ = 749371392. Its totient is φ = 44513280.

The previous prime is 214035743. The next prime is 214035793. The reversal of 214035780 is 87530412.

It is a super-2 number, since 2×214035780² = 91622630240416800, which contains 22 as substring.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 220857 + ... + 221823.

It is an arithmetic number, because the mean of its divisors is an integer number (3902976).

Almost surely, 2^214035780 is an apocalyptic number.

214035780 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 214035780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374685696).

214035780 is an abundant number, since it is smaller than the sum of its proper divisors (535335612).

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

214035780 is a wasteful number, since it uses less digits than its factorization.

214035780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 214035780 is about 14629.9617224380. The cubic root of 214035780 is about 598.1757368390.

The spelling of 214035780 in words is "two hundred fourteen million, thirty-five thousand, seven hundred eighty".