1341607680 has 432 divisors, whose sum is σ = 5387526144. Its totient is φ = 301916160.

The previous prime is 1341607583. The next prime is 1341607681. The reversal of 1341607680 is 867061431.

1341607680 is a `hidden beast` number, since 1 + 3 + 41 + 607 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×1341607680² = 3599822334069964800, which contains 22 as substring.

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 (1341607681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10241215 + ... + 10241345.

Almost surely, 2^1341607680 is an apocalyptic number.

1341607680 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 1341607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2693763072).

1341607680 is an abundant number, since it is smaller than the sum of its proper divisors (4045918464).

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

1341607680 is a wasteful number, since it uses less digits than its factorization.

1341607680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1341607680 is about 36627.9630883291. The cubic root of 1341607680 is about 1102.9144969910.

The spelling of 1341607680 in words is "one billion, three hundred forty-one million, six hundred seven thousand, six hundred eighty".