1001506896 has 160 divisors (see below), whose sum is σ = 3118967040. Its totient is φ = 305856000.

The previous prime is 1001506859. The next prime is 1001506897. The reversal of 1001506896 is 6986051001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1001506896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001506897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 847426 + ... + 848606.

It is an arithmetic number, because the mean of its divisors is an integer number (19493544).

Almost surely, 2^1001506896 is an apocalyptic number.

1001506896 is a gapful number since it is divisible by the number (16) 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 1001506896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559483520).

1001506896 is an abundant number, since it is smaller than the sum of its proper divisors (2117460144).

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

1001506896 is a wasteful number, since it uses less digits than its factorization.

1001506896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1001506896 is about 31646.5937503549. The cubic root of 1001506896 is about 1000.5020465737.

Adding to 1001506896 its reverse (6986051001), we get a palindrome (7987557897).

The spelling of 1001506896 in words is "one billion, one million, five hundred six thousand, eight hundred ninety-six".