1295104608 has 576 divisors, whose sum is σ = 4891041792. Its totient is φ = 316293120.

The previous prime is 1295104589. The next prime is 1295104609. The reversal of 1295104608 is 8064015921.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1295104609) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24435910 + ... + 24435962.

It is an arithmetic number, because the mean of its divisors is an integer number (8491392).

Almost surely, 2^1295104608 is an apocalyptic number.

1295104608 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 1295104608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445520896).

1295104608 is an abundant number, since it is smaller than the sum of its proper divisors (3595937184).

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

1295104608 is a wasteful number, since it uses less digits than its factorization.

1295104608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1295104608 is about 35987.5618512841. The cubic root of 1295104608 is about 1090.0212121675.

The spelling of 1295104608 in words is "one billion, two hundred ninety-five million, one hundred four thousand, six hundred eight".