1506631680 has 336 divisors, whose sum is σ = 5387516784. Its totient is φ = 389283840.

The previous prime is 1506631669. The next prime is 1506631717. The reversal of 1506631680 is 861366051.

It is a happy number.

1506631680 is a `hidden beast` number, since 1 + 506 + 63 + 16 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22487007 + ... + 22487073.

Almost surely, 2^1506631680 is an apocalyptic number.

1506631680 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 1506631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2693758392).

1506631680 is an abundant number, since it is smaller than the sum of its proper divisors (3880885104).

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

1506631680 is an equidigital number, since it uses as much as digits as its factorization.

1506631680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1506631680 is about 38815.3536632091. The cubic root of 1506631680 is about 1146.3987355490.

The spelling of 1506631680 in words is "one billion, five hundred six million, six hundred thirty-one thousand, six hundred eighty".