214740820 has 48 divisors (see below), whose sum is σ = 516297600. Its totient is φ = 73494144.

The previous prime is 214740809. The next prime is 214740863. The reversal of 214740820 is 28047412.

It is a super-2 number, since 2×214740820² = 92227239548544800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109206 + ... + 111154.

It is an arithmetic number, because the mean of its divisors is an integer number (10756200).

Almost surely, 2^214740820 is an apocalyptic number.

214740820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214740820 is an abundant number, since it is smaller than the sum of its proper divisors (301556780).

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

214740820 is a wasteful number, since it uses less digits than its factorization.

214740820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752 (or 2750 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 214740820 is about 14654.0376688474. The cubic root of 214740820 is about 598.8318196598.

The spelling of 214740820 in words is "two hundred fourteen million, seven hundred forty thousand, eight hundred twenty".