214674840 has 128 divisors (see below), whose sum is σ = 719928000. Its totient is φ = 56899584.

The previous prime is 214674839. The next prime is 214674841. The reversal of 214674840 is 48476412.

It is an interprime number because it is at equal distance from previous prime (214674839) and next prime (214674841).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 214674795 and 214674804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214674841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212256 + ... + 213264.

Almost surely, 2^214674840 is an apocalyptic number.

214674840 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 214674840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359964000).

214674840 is an abundant number, since it is smaller than the sum of its proper divisors (505253160).

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

214674840 is a wasteful number, since it uses less digits than its factorization.

214674840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 214674840 is about 14651.7862392269. The cubic root of 214674840 is about 598.7704821976.

The spelling of 214674840 in words is "two hundred fourteen million, six hundred seventy-four thousand, eight hundred forty".