216086640 has 240 divisors, whose sum is σ = 842279424. Its totient is φ = 44858880.

The previous prime is 216086617. The next prime is 216086659. The reversal of 216086640 is 46680612.

It is a happy number.

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 (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202749 + ... + 203811.

Almost surely, 2^216086640 is an apocalyptic number.

216086640 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 216086640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421139712).

216086640 is an abundant number, since it is smaller than the sum of its proper divisors (626192784).

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

216086640 is a wasteful number, since it uses less digits than its factorization.

216086640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 216086640 is about 14699.8857138415. The cubic root of 216086640 is about 600.0802114986.

It can be divided in two parts, 2160 and 86640, that multiplied together give a square (187142400 = 13680²).

The spelling of 216086640 in words is "two hundred sixteen million, eighty-six thousand, six hundred forty".