1295006720 has 176 divisors, whose sum is σ = 3707002368. Its totient is φ = 424427520.

The previous prime is 1295006711. The next prime is 1295006723. The reversal of 1295006720 is 276005921.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1295006723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 823535 + ... + 825105.

Almost surely, 2^1295006720 is an apocalyptic number.

1295006720 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 1295006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853501184).

1295006720 is an abundant number, since it is smaller than the sum of its proper divisors (2411995648).

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

1295006720 is a wasteful number, since it uses less digits than its factorization.

1295006720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 1295006720 is about 35986.2018001345. The cubic root of 1295006720 is about 1089.9937490874.

The spelling of 1295006720 in words is "one billion, two hundred ninety-five million, six thousand, seven hundred twenty".