1078515648 has 168 divisors, whose sum is σ = 3664216192. Its totient is φ = 308116224.

The previous prime is 1078515611. The next prime is 1078515653. The reversal of 1078515648 is 8465158701.

1078515648 is a `hidden beast` number, since 1 + 0 + 7 + 85 + 1 + 564 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-3 number, since 3×1078515648³ (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 23 ways as a sum of consecutive naturals, for example, 103911 + ... + 113817.

Almost surely, 2^1078515648 is an apocalyptic number.

1078515648 is a gapful number since it is divisible by the number (18) 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 1078515648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832108096).

1078515648 is an abundant number, since it is smaller than the sum of its proper divisors (2585700544).

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

1078515648 is an frugal number, since it uses more digits than its factorization.

1078515648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9941 (or 9919 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The square root of 1078515648 is about 32840.7619887237. The cubic root of 1078515648 is about 1025.5153143131.

The spelling of 1078515648 in words is "one billion, seventy-eight million, five hundred fifteen thousand, six hundred forty-eight".