212674800 has 120 divisors (see below), whose sum is σ = 733727344. Its totient is φ = 52346880.

The previous prime is 212674799. The next prime is 212674829. The reversal of 212674800 is 8476212.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 8784 + ... + 22416.

Almost surely, 2^212674800 is an apocalyptic number.

212674800 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 212674800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366863672).

212674800 is an abundant number, since it is smaller than the sum of its proper divisors (521052544).

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

212674800 is a wasteful number, since it uses less digits than its factorization.

212674800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13667 (or 13656 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 212674800 is about 14583.3740951811. The cubic root of 212674800 is about 596.9051753245.

The spelling of 212674800 in words is "two hundred twelve million, six hundred seventy-four thousand, eight hundred".