245661120 has 112 divisors (see below), whose sum is σ = 866668320. Its totient is φ = 65507328.

The previous prime is 245661113. The next prime is 245661121. The reversal of 245661120 is 21166542.

245661120 is a `hidden beast` number, since 2 + 45 + 6 + 611 + 2 + 0 = 666.

245661120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245661121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5577 + ... + 22856.

It is an arithmetic number, because the mean of its divisors is an integer number (7738110).

Almost surely, 2^245661120 is an apocalyptic number.

245661120 is a gapful number since it is divisible by the number (20) 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 245661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433334160).

245661120 is an abundant number, since it is smaller than the sum of its proper divisors (621007200).

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

245661120 is a wasteful number, since it uses less digits than its factorization.

245661120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28459 (or 28443 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 245661120 is about 15673.5803184850. The cubic root of 245661120 is about 626.2948047832.

The spelling of 245661120 in words is "two hundred forty-five million, six hundred sixty-one thousand, one hundred twenty".