216034560 has 576 divisors, whose sum is σ = 941875200. Its totient is φ = 45785088.

The previous prime is 216034547. The next prime is 216034573. The reversal of 216034560 is 65430612.

216034560 is a `hidden beast` number, since 2 + 1 + 603 + 4 + 56 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (216034547) and next prime (216034573).

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×216034560² = 93341862228787200, 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4596457 + ... + 4596503.

It is an arithmetic number, because the mean of its divisors is an integer number (1635200).

Almost surely, 2^216034560 is an apocalyptic number.

216034560 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 216034560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470937600).

216034560 is an abundant number, since it is smaller than the sum of its proper divisors (725840640).

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

216034560 is a wasteful number, since it uses less digits than its factorization.

216034560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 216034560 is about 14698.1141647492. The cubic root of 216034560 is about 600.0319982935.

It can be divided in two parts, 2160 and 34560, that multiplied together give a square (74649600 = 8640²).

The spelling of 216034560 in words is "two hundred sixteen million, thirty-four thousand, five hundred sixty".