1259713840 has 160 divisors (see below), whose sum is σ = 3750902784. Its totient is φ = 381957120.

The previous prime is 1259713823. The next prime is 1259713883. The reversal of 1259713840 is 483179521.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1259713793 and 1259713802.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225157 + ... + 230683.

Almost surely, 2^1259713840 is an apocalyptic number.

1259713840 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 1259713840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875451392).

1259713840 is an abundant number, since it is smaller than the sum of its proper divisors (2491188944).

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

1259713840 is a wasteful number, since it uses less digits than its factorization.

1259713840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5595 (or 5589 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 1259713840 is about 35492.4476473517. The cubic root of 1259713840 is about 1080.0005258342. Note that the first 3 decimals are identical.

The spelling of 1259713840 in words is "one billion, two hundred fifty-nine million, seven hundred thirteen thousand, eight hundred forty".