1506286872 has 96 divisors (see below), whose sum is σ = 4200936480. Its totient is φ = 487226880.

The previous prime is 1506286843. The next prime is 1506286897. The reversal of 1506286872 is 2786826051.

1506286872 is a `hidden beast` number, since 15 + 0 + 628 + 6 + 8 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1978972 + ... + 1979732.

It is an arithmetic number, because the mean of its divisors is an integer number (43759755).

Almost surely, 2^1506286872 is an apocalyptic number.

1506286872 is a gapful number since it is divisible by the number (12) 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 1506286872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100468240).

1506286872 is an abundant number, since it is smaller than the sum of its proper divisors (2694649608).

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

1506286872 is a wasteful number, since it uses less digits than its factorization.

1506286872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 1506286872 is about 38810.9117646056. The cubic root of 1506286872 is about 1146.3112738689.

The spelling of 1506286872 in words is "one billion, five hundred six million, two hundred eighty-six thousand, eight hundred seventy-two".