216149040 has 80 divisors (see below), whose sum is σ = 744520800. Its totient is φ = 57639168.

The previous prime is 216149039. The next prime is 216149041. The reversal of 216149040 is 40941612.

216149040 is a `hidden beast` number, since 2 + 1 + 614 + 9 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (216149039) and next prime (216149041).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 216148995 and 216149013.

It is not an unprimeable number, because it can be changed into a prime (216149041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47875 + ... + 52194.

It is an arithmetic number, because the mean of its divisors is an integer number (9306510).

Almost surely, 2^216149040 is an apocalyptic number.

216149040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216149040 is an abundant number, since it is smaller than the sum of its proper divisors (528371760).

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

216149040 is a wasteful number, since it uses less digits than its factorization.

216149040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100091 (or 100079 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 216149040 is about 14702.0080261167. The cubic root of 216149040 is about 600.1379682722.

The spelling of 216149040 in words is "two hundred sixteen million, one hundred forty-nine thousand, forty".