214826040 has 384 divisors, whose sum is σ = 853804800. Its totient is φ = 47623680.

The previous prime is 214826011. The next prime is 214826069. The reversal of 214826040 is 40628412.

It is an interprime number because it is at equal distance from previous prime (214826011) and next prime (214826069).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 214825995 and 214826013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2007667 + ... + 2007773.

It is an arithmetic number, because the mean of its divisors is an integer number (2223450).

Almost surely, 2^214826040 is an apocalyptic number.

214826040 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 214826040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426902400).

214826040 is an abundant number, since it is smaller than the sum of its proper divisors (638978760).

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

214826040 is a wasteful number, since it uses less digits than its factorization.

214826040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 214826040 is about 14656.9451114480. The cubic root of 214826040 is about 598.9110247506.

The spelling of 214826040 in words is "two hundred fourteen million, eight hundred twenty-six thousand, forty".