1201184640 has 640 divisors, whose sum is σ = 4798569600. Its totient is φ = 284884992.

The previous prime is 1201184639. The next prime is 1201184701. The reversal of 1201184640 is 464811021.

It is a happy number.

1201184640 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 18 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25557097 + ... + 25557143.

It is an arithmetic number, because the mean of its divisors is an integer number (7497765).

Almost surely, 2^1201184640 is an apocalyptic number.

1201184640 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 1201184640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399284800).

1201184640 is an abundant number, since it is smaller than the sum of its proper divisors (3597384960).

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

1201184640 is a wasteful number, since it uses less digits than its factorization.

1201184640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1201184640 is about 34658.1107390464. The cubic root of 1201184640 is about 1063.0081396890.

Adding to 1201184640 its reverse (464811021), we get a palindrome (1665995661).

The spelling of 1201184640 in words is "one billion, two hundred one million, one hundred eighty-four thousand, six hundred forty".