213766080 has 224 divisors, whose sum is σ = 765462528. Its totient is φ = 50073600.

The previous prime is 213766073. The next prime is 213766081. The reversal of 213766080 is 80667312.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213766081) 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, 327034 + ... + 327686.

Almost surely, 2^213766080 is an apocalyptic number.

213766080 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 213766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382731264).

213766080 is an abundant number, since it is smaller than the sum of its proper divisors (551696448).

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

213766080 is a wasteful number, since it uses less digits than its factorization.

213766080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 213766080 is about 14620.7414312681. The cubic root of 213766080 is about 597.9243835291.

The spelling of 213766080 in words is "two hundred thirteen million, seven hundred sixty-six thousand, eighty".