210416096 has 72 divisors (see below), whose sum is σ = 470296512. Its totient is φ = 92505600.

The previous prime is 210416093. The next prime is 210416099. The reversal of 210416096 is 690614012.

It is an interprime number because it is at equal distance from previous prime (210416093) and next prime (210416099).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210416093) 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, 119156 + ... + 120908.

It is an arithmetic number, because the mean of its divisors is an integer number (6531896).

Almost surely, 2^210416096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210416096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235148256).

210416096 is an abundant number, since it is smaller than the sum of its proper divisors (259880416).

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

210416096 is a wasteful number, since it uses less digits than its factorization.

210416096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 210416096 is about 14505.7263175616. The cubic root of 210416096 is about 594.7845143942.

The spelling of 210416096 in words is "two hundred ten million, four hundred sixteen thousand, ninety-six".