1506665340 has 96 divisors (see below), whose sum is σ = 4699296000. Its totient is φ = 400758336.

The previous prime is 1506665339. The next prime is 1506665351. The reversal of 1506665340 is 435666051.

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 = 1506665295 and 1506665304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222931 + ... + 229589.

It is an arithmetic number, because the mean of its divisors is an integer number (48951000).

Almost surely, 2^1506665340 is an apocalyptic number.

1506665340 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 1506665340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349648000).

1506665340 is an abundant number, since it is smaller than the sum of its proper divisors (3192630660).

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

1506665340 is a wasteful number, since it uses less digits than its factorization.

1506665340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7096 (or 7088 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 1506665340 is about 38815.7872520963. The cubic root of 1506665340 is about 1146.4072728035.

The spelling of 1506665340 in words is "one billion, five hundred six million, six hundred sixty-five thousand, three hundred forty".