1295658672 has 240 divisors, whose sum is σ = 4436596992. Its totient is φ = 316477440.

The previous prime is 1295658667. The next prime is 1295658709. The reversal of 1295658672 is 2768565921.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 1067538 + ... + 1068750.

Almost surely, 2^1295658672 is an apocalyptic number.

1295658672 is a gapful number since it is divisible by the number (12) 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 1295658672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218298496).

1295658672 is an abundant number, since it is smaller than the sum of its proper divisors (3140938320).

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

1295658672 is a wasteful number, since it uses less digits than its factorization.

1295658672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1253 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 51.

The square root of 1295658672 is about 35995.2590211544. The cubic root of 1295658672 is about 1090.1766321505.

The spelling of 1295658672 in words is "one billion, two hundred ninety-five million, six hundred fifty-eight thousand, six hundred seventy-two".