216406600 has 48 divisors (see below), whose sum is σ = 532750500. Its totient is φ = 81469440.

The previous prime is 216406571. The next prime is 216406601. The reversal of 216406600 is 6604612.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 75794436 + 140612164 = 8706^2 + 11858^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (216406601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28425 + ... + 35224.

Almost surely, 2^216406600 is an apocalyptic number.

216406600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216406600 is an abundant number, since it is smaller than the sum of its proper divisors (316343900).

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

216406600 is a wasteful number, since it uses less digits than its factorization.

216406600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63682 (or 63673 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 216406600 is about 14710.7647659800. The cubic root of 216406600 is about 600.3762454977.

The spelling of 216406600 in words is "two hundred sixteen million, four hundred six thousand, six hundred".