1076413968 has 240 divisors, whose sum is σ = 3626166720. Its totient is φ = 304819200.

The previous prime is 1076413957. The next prime is 1076413979. The reversal of 1076413968 is 8693146701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1076413957) and next prime (1076413979).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4466328 + ... + 4466568.

It is an arithmetic number, because the mean of its divisors is an integer number (15109028).

Almost surely, 2^1076413968 is an apocalyptic number.

1076413968 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 1076413968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813083360).

1076413968 is an abundant number, since it is smaller than the sum of its proper divisors (2549752752).

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

1076413968 is a wasteful number, since it uses less digits than its factorization.

1076413968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1076413968 is about 32808.7483455252. The cubic root of 1076413968 is about 1024.8487480170.

It can be divided in two parts, 107641396 and 8, that multiplied together give a palindrome (861131168).

The spelling of 1076413968 in words is "one billion, seventy-six million, four hundred thirteen thousand, nine hundred sixty-eight".