1208672640 has 384 divisors, whose sum is σ = 4928901120. Its totient is φ = 267079680.

The previous prime is 1208672627. The next prime is 1208672651. The reversal of 1208672640 is 462768021.

1208672640 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 6 + 7 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 1208672595 and 1208672604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1249437 + ... + 1250403.

It is an arithmetic number, because the mean of its divisors is an integer number (12835680).

Almost surely, 2^1208672640 is an apocalyptic number.

1208672640 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 1208672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464450560).

1208672640 is an abundant number, since it is smaller than the sum of its proper divisors (3720228480).

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

1208672640 is a wasteful number, since it uses less digits than its factorization.

1208672640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1208672640 is about 34765.9695679554. The cubic root of 1208672640 is about 1065.2124419156.

The spelling of 1208672640 in words is "one billion, two hundred eight million, six hundred seventy-two thousand, six hundred forty".