1205045640 has 128 divisors (see below), whose sum is σ = 4146508800. Its totient is φ = 310970880.

The previous prime is 1205045623. The next prime is 1205045641. The reversal of 1205045640 is 465405021.

1205045640 is a `hidden beast` number, since 1 + 205 + 0 + 456 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1205045641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15484 + ... + 51476.

It is an arithmetic number, because the mean of its divisors is an integer number (32394600).

Almost surely, 2^1205045640 is an apocalyptic number.

1205045640 is a gapful number since it is divisible by the number (10) 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 1205045640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073254400).

1205045640 is an abundant number, since it is smaller than the sum of its proper divisors (2941463160).

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

1205045640 is a wasteful number, since it uses less digits than its factorization.

1205045640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36044 (or 36034 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1205045640 is about 34713.7672977163. The cubic root of 1205045640 is about 1064.1458733989.

The spelling of 1205045640 in words is "one billion, two hundred five million, forty-five thousand, six hundred forty".