245637216 has 144 divisors (see below), whose sum is σ = 807036048. Its totient is φ = 70041600.

The previous prime is 245637173. The next prime is 245637239. The reversal of 245637216 is 612736542.

245637216 is a `hidden beast` number, since 2 + 4 + 5 + 637 + 2 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51576 + ... + 56136.

It is an arithmetic number, because the mean of its divisors is an integer number (5604417).

Almost surely, 2^245637216 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 245637216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403518024).

245637216 is an abundant number, since it is smaller than the sum of its proper divisors (561398832).

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

245637216 is a wasteful number, since it uses less digits than its factorization.

245637216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4605 (or 4594 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 245637216 is about 15672.8177428311. The cubic root of 245637216 is about 626.2744902993.

The spelling of 245637216 in words is "two hundred forty-five million, six hundred thirty-seven thousand, two hundred sixteen".