1359088640 has 176 divisors, whose sum is σ = 4013954112. Its totient is φ = 429981696.

The previous prime is 1359088597. The next prime is 1359088649. The reversal of 1359088640 is 468809531.

It is a junction number, because it is equal to n+sod(n) for n = 1359088591 and 1359088600.

It is not an unprimeable number, because it can be changed into a prime (1359088649) 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, 464462 + ... + 467378.

Almost surely, 2^1359088640 is an apocalyptic number.

1359088640 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 1359088640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2006977056).

1359088640 is an abundant number, since it is smaller than the sum of its proper divisors (2654865472).

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

1359088640 is a wasteful number, since it uses less digits than its factorization.

1359088640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2962 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The square root of 1359088640 is about 36865.8193995468. The cubic root of 1359088640 is about 1107.6841145326.

The spelling of 1359088640 in words is "one billion, three hundred fifty-nine million, eighty-eight thousand, six hundred forty".