212379840 has 224 divisors, whose sum is σ = 766632960. Its totient is φ = 55323648.

The previous prime is 212379809. The next prime is 212379841. The reversal of 212379840 is 48973212.

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 = 212379795 and 212379804.

It is not an unprimeable number, because it can be changed into a prime (212379841) 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, 405819 + ... + 406341.

Almost surely, 2^212379840 is an apocalyptic number.

212379840 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 212379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383316480).

212379840 is an abundant number, since it is smaller than the sum of its proper divisors (554253120).

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

212379840 is a wasteful number, since it uses less digits than its factorization.

212379840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 212379840 is about 14573.2577003222. The cubic root of 212379840 is about 596.6290971563.

The spelling of 212379840 in words is "two hundred twelve million, three hundred seventy-nine thousand, eight hundred forty".