216414624 has 48 divisors (see below), whose sum is σ = 601509888. Its totient is φ = 67894272.

The previous prime is 216414599. The next prime is 216414643. The reversal of 216414624 is 426414612.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×216414624² = 93670578962122752, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 216414591 and 216414600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64672 + ... + 67935.

It is an arithmetic number, because the mean of its divisors is an integer number (12531456).

Almost surely, 2^216414624 is an apocalyptic number.

216414624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

216414624 is an abundant number, since it is smaller than the sum of its proper divisors (385095264).

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

216414624 is a wasteful number, since it uses less digits than its factorization.

216414624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132637 (or 132629 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 216414624 is about 14711.0374889061. The cubic root of 216414624 is about 600.3836657265.

The spelling of 216414624 in words is "two hundred sixteen million, four hundred fourteen thousand, six hundred twenty-four".