1000964232 has 192 divisors, whose sum is σ = 3083184000. Its totient is φ = 291658752.

The previous prime is 1000964183. The next prime is 1000964249. The reversal of 1000964232 is 2324690001.

1000964232 is a `hidden beast` number, since 10 + 0 + 0 + 9 + 642 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1000964196 and 1000964205.

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, 911908 + ... + 913004.

It is an arithmetic number, because the mean of its divisors is an integer number (16058250).

Almost surely, 2^1000964232 is an apocalyptic number.

1000964232 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 1000964232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541592000).

1000964232 is an abundant number, since it is smaller than the sum of its proper divisors (2082219768).

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

1000964232 is a wasteful number, since it uses less digits than its factorization.

1000964232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1000964232 is about 31638.0187748854. The cubic root of 1000964232 is about 1000.3213074172.

The spelling of 1000964232 in words is "one billion, nine hundred sixty-four thousand, two hundred thirty-two".