213546960 has 240 divisors, whose sum is σ = 797359680. Its totient is φ = 50780160.

The previous prime is 213546919. The next prime is 213546961. The reversal of 213546960 is 69645312.

It is a happy number.

213546960 is a `hidden beast` number, since 2 + 135 + 469 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213546961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 467052 + ... + 467508.

It is an arithmetic number, because the mean of its divisors is an integer number (3322332).

Almost surely, 2^213546960 is an apocalyptic number.

213546960 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 213546960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398679840).

213546960 is an abundant number, since it is smaller than the sum of its proper divisors (583812720).

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

213546960 is a wasteful number, since it uses less digits than its factorization.

213546960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 213546960 is about 14613.2460459680. The cubic root of 213546960 is about 597.7200137453.

It can be divided in two parts, 213 and 546960, that multiplied together give a triangular number (116502480 = T₁₅₂₆₄).

The spelling of 213546960 in words is "two hundred thirteen million, five hundred forty-six thousand, nine hundred sixty".