213506496 has 224 divisors, whose sum is σ = 755904000. Its totient is φ = 57729024.

The previous prime is 213506473. The next prime is 213506507. The reversal of 213506496 is 694605312.

It is a happy number.

213506496 is a `hidden beast` number, since 2 + 1 + 3 + 5 + 0 + 649 + 6 = 666.

213506496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 213506496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229360 + ... + 230288.

Almost surely, 2^213506496 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 213506496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377952000).

213506496 is an abundant number, since it is smaller than the sum of its proper divisors (542397504).

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

213506496 is a wasteful number, since it uses less digits than its factorization.

213506496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 213506496 is about 14611.8614830555. The cubic root of 213506496 is about 597.6822583176.

The spelling of 213506496 in words is "two hundred thirteen million, five hundred six thousand, four hundred ninety-six".