216537552 has 240 divisors, whose sum is σ = 770664960. Its totient is φ = 55123200.

The previous prime is 216537539. The next prime is 216537583. The reversal of 216537552 is 255735612.

It is a super-2 number, since 2×216537552² = 93777022852305408, which contains 22 as substring.

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

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, 654027 + ... + 654357.

It is an arithmetic number, because the mean of its divisors is an integer number (3211104).

Almost surely, 2^216537552 is an apocalyptic number.

216537552 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 216537552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385332480).

216537552 is an abundant number, since it is smaller than the sum of its proper divisors (554127408).

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

216537552 is a wasteful number, since it uses less digits than its factorization.

216537552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 413 counting only the distinct ones).

The product of its digits is 63000, while the sum is 36.

The square root of 216537552 is about 14715.2149831391. The cubic root of 216537552 is about 600.4973210058.

The spelling of 216537552 in words is "two hundred sixteen million, five hundred thirty-seven thousand, five hundred fifty-two".