1076689152 has 648 divisors, whose sum is σ = 4292154720. Its totient is φ = 263208960.

The previous prime is 1076689147. The next prime is 1076689157. The reversal of 1076689152 is 2519866701.

It is an interprime number because it is at equal distance from previous prime (1076689147) and next prime (1076689157).

It is a junction number, because it is equal to n+sod(n) for n = 1076689098 and 1076689107.

It is not an unprimeable number, because it can be changed into a prime (1076689157) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 63334648 + ... + 63334664.

Almost surely, 2^1076689152 is an apocalyptic number.

1076689152 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 1076689152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146077360).

1076689152 is an abundant number, since it is smaller than the sum of its proper divisors (3215465568).

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

1076689152 is a wasteful number, since it uses less digits than its factorization.

1076689152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 1076689152 is about 32812.9418370252. The cubic root of 1076689152 is about 1024.9360743793.

The spelling of 1076689152 in words is "one billion, seventy-six million, six hundred eighty-nine thousand, one hundred fifty-two".