214793376 has 96 divisors (see below), whose sum is σ = 652313088. Its totient is φ = 60614400.

The previous prime is 214793339. The next prime is 214793387. The reversal of 214793376 is 673397412.

214793376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×214793376² = 92272388746954752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 53851 + ... + 57701.

It is an arithmetic number, because the mean of its divisors is an integer number (6794928).

Almost surely, 2^214793376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214793376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326156544).

214793376 is an abundant number, since it is smaller than the sum of its proper divisors (437519712).

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

214793376 is a wasteful number, since it uses less digits than its factorization.

214793376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3954 (or 3946 counting only the distinct ones).

The product of its digits is 190512, while the sum is 42.

The square root of 214793376 is about 14655.8307850493. The cubic root of 214793376 is about 598.8806686831.

The spelling of 214793376 in words is "two hundred fourteen million, seven hundred ninety-three thousand, three hundred seventy-six".