213116940 has 192 divisors, whose sum is σ = 709632000. Its totient is φ = 52980480.

The previous prime is 213116933. The next prime is 213116999. The reversal of 213116940 is 49611312.

It is a super-2 number, since 2×213116940² = 90837660229927200, which contains 22 as substring.

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

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 63 ways as a sum of consecutive naturals, for example, 485241 + ... + 485679.

It is an arithmetic number, because the mean of its divisors is an integer number (3696000).

Almost surely, 2^213116940 is an apocalyptic number.

213116940 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 213116940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354816000).

213116940 is an abundant number, since it is smaller than the sum of its proper divisors (496515060).

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

213116940 is a wasteful number, since it uses less digits than its factorization.

213116940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 213116940 is about 14598.5252679851. The cubic root of 213116940 is about 597.3185340865.

The spelling of 213116940 in words is "two hundred thirteen million, one hundred sixteen thousand, nine hundred forty".