216142624 has 48 divisors (see below), whose sum is σ = 456085728. Its totient is φ = 100467712.

The previous prime is 216142583. The next prime is 216142649. The reversal of 216142624 is 426241612.

It is a junction number, because it is equal to n+sod(n) for n = 216142592 and 216142601.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42759 + ... + 47545.

It is an arithmetic number, because the mean of its divisors is an integer number (9501786).

Almost surely, 2^216142624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216142624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228042864).

216142624 is an abundant number, since it is smaller than the sum of its proper divisors (239943104).

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

216142624 is a wasteful number, since it uses less digits than its factorization.

216142624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4897 (or 4889 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The square root of 216142624 is about 14701.7898230113. The cubic root of 216142624 is about 600.1320302038.

The spelling of 216142624 in words is "two hundred sixteen million, one hundred forty-two thousand, six hundred twenty-four".