216061600 has 144 divisors (see below), whose sum is σ = 557776800. Its totient is φ = 81607680.

The previous prime is 216061589. The next prime is 216061613. The reversal of 216061600 is 6160612.

It is a super-2 number, since 2×216061600² = 93365229989120000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1554331 + ... + 1554469.

It is an arithmetic number, because the mean of its divisors is an integer number (3873450).

Almost surely, 2^216061600 is an apocalyptic number.

216061600 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 216061600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278888400).

216061600 is an abundant number, since it is smaller than the sum of its proper divisors (341715200).

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

216061600 is a wasteful number, since it uses less digits than its factorization.

216061600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 216061600 is about 14699.0339818643. The cubic root of 216061600 is about 600.0570316159.

The spelling of 216061600 in words is "two hundred sixteen million, sixty-one thousand, six hundred".