1346556240 has 120 divisors (see below), whose sum is σ = 4567205448. Its totient is φ = 355507200.

The previous prime is 1346556221. The next prime is 1346556257. The reversal of 1346556240 is 426556431.

1346556240 is a `hidden beast` number, since 1 + 34 + 65 + 562 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 310746384 + 1035809856 = 17628^2 + 32184^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 1346556195 and 1346556204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63462 + ... + 81978.

Almost surely, 2^1346556240 is an apocalyptic number.

1346556240 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 1346556240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2283602724).

1346556240 is an abundant number, since it is smaller than the sum of its proper divisors (3220649208).

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

1346556240 is a wasteful number, since it uses less digits than its factorization.

1346556240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18637 (or 18628 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 1346556240 is about 36695.4525793047. The cubic root of 1346556240 is about 1104.2688774842.

The spelling of 1346556240 in words is "one billion, three hundred forty-six million, five hundred fifty-six thousand, two hundred forty".