1015415648 has 48 divisors (see below), whose sum is σ = 2161295136. Its totient is φ = 466821120.

The previous prime is 1015415629. The next prime is 1015415671. The reversal of 1015415648 is 8465145101.

It is a super-3 number, since 3×1015415648³ (a number of 28 digits) contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 104768 + ... + 114048.

It is an arithmetic number, because the mean of its divisors is an integer number (45026982).

Almost surely, 2^1015415648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1015415648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080647568).

1015415648 is an abundant number, since it is smaller than the sum of its proper divisors (1145879488).

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

1015415648 is a wasteful number, since it uses less digits than its factorization.

1015415648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9567 (or 9559 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 35.

The square root of 1015415648 is about 31865.5872062638. The cubic root of 1015415648 is about 1005.1123684823.

The spelling of 1015415648 in words is "one billion, fifteen million, four hundred fifteen thousand, six hundred forty-eight".