216035952 has 80 divisors (see below), whose sum is σ = 610734720. Its totient is φ = 65260800.

The previous prime is 216035921. The next prime is 216035957. The reversal of 216035952 is 259530612.

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 (216035957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326502 + ... + 327162.

It is an arithmetic number, because the mean of its divisors is an integer number (7634184).

Almost surely, 2^216035952 is an apocalyptic number.

216035952 is a gapful number since it is divisible by the number (22) 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 216035952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305367360).

216035952 is an abundant number, since it is smaller than the sum of its proper divisors (394698768).

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

216035952 is a wasteful number, since it uses less digits than its factorization.

216035952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 216035952 is about 14698.1615176865. The cubic root of 216035952 is about 600.0332870421.

The spelling of 216035952 in words is "two hundred sixteen million, thirty-five thousand, nine hundred fifty-two".