1245757968 has 360 divisors, whose sum is σ = 4538334528. Its totient is φ = 327898368.

The previous prime is 1245757957. The next prime is 1245757969. The reversal of 1245757968 is 8697575421.

1245757968 is a `hidden beast` number, since 1 + 2 + 4 + 5 + 7 + 579 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1245757969) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2476405 + ... + 2476907.

Almost surely, 2^1245757968 is an apocalyptic number.

1245757968 is a gapful number since it is divisible by the number (18) 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 1245757968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2269167264).

1245757968 is an abundant number, since it is smaller than the sum of its proper divisors (3292576560).

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

1245757968 is a wasteful number, since it uses less digits than its factorization.

1245757968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 528 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 54.

The square root of 1245757968 is about 35295.2966838359. The cubic root of 1245757968 is about 1075.9974065157.

The spelling of 1245757968 in words is "one billion, two hundred forty-five million, seven hundred fifty-seven thousand, nine hundred sixty-eight".