216572640 has 96 divisors (see below), whose sum is σ = 718139520. Its totient is φ = 54710784.

The previous prime is 216572627. The next prime is 216572687. The reversal of 216572640 is 46275612.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2754 + ... + 20993.

It is an arithmetic number, because the mean of its divisors is an integer number (7480620).

Almost surely, 2^216572640 is an apocalyptic number.

216572640 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 216572640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359069760).

216572640 is an abundant number, since it is smaller than the sum of its proper divisors (501566880).

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

216572640 is a wasteful number, since it uses less digits than its factorization.

216572640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23784 (or 23776 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 216572640 is about 14716.4071702301. The cubic root of 216572640 is about 600.5297543518.

The spelling of 216572640 in words is "two hundred sixteen million, five hundred seventy-two thousand, six hundred forty".