245106624 has 84 divisors (see below), whose sum is σ = 754419624. Its totient is φ = 70027776.

The previous prime is 245106577. The next prime is 245106643. The reversal of 245106624 is 426601542.

It is a tau number, because it is divible by the number of its divisors (84).

It is a junction number, because it is equal to n+sod(n) for n = 245106591 and 245106600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3619 + ... + 22434.

It is an arithmetic number, because the mean of its divisors is an integer number (8981186).

Almost surely, 2^245106624 is an apocalyptic number.

245106624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245106624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377209812).

245106624 is an abundant number, since it is smaller than the sum of its proper divisors (509313000).

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

245106624 is a wasteful number, since it uses less digits than its factorization.

245106624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26082 (or 26065 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 245106624 is about 15655.8814507520. The cubic root of 245106624 is about 625.8232343270.

The spelling of 245106624 in words is "two hundred forty-five million, one hundred six thousand, six hundred twenty-four".