1262672640 has 216 divisors, whose sum is σ = 4472067600. Its totient is φ = 328753152.

The previous prime is 1262672639. The next prime is 1262672647. The reversal of 1262672640 is 462762621.

1262672640 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 6 + 7 + 2 + 640 = 666.

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 = 1262672595 and 1262672604.

It is not an unprimeable number, because it can be changed into a prime (1262672647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 494086 + ... + 496634.

Almost surely, 2^1262672640 is an apocalyptic number.

1262672640 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 1262672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2236033800).

1262672640 is an abundant number, since it is smaller than the sum of its proper divisors (3209394960).

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

1262672640 is a wasteful number, since it uses less digits than its factorization.

1262672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2619 (or 2602 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1262672640 is about 35534.1053074367. The cubic root of 1262672640 is about 1080.8454285572.

The spelling of 1262672640 in words is "one billion, two hundred sixty-two million, six hundred seventy-two thousand, six hundred forty".