830671488 has 96 divisors (see below), whose sum is σ = 2516217600. Its totient is φ = 262310400.

The previous prime is 830671441. The next prime is 830671489. The reversal of 830671488 is 884176038.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×830671488² = 1380030241952268288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (830671489) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2913 + ... + 40863.

It is an arithmetic number, because the mean of its divisors is an integer number (26210600).

Almost surely, 2^830671488 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 830671488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258108800).

830671488 is an abundant number, since it is smaller than the sum of its proper divisors (1685546112).

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

830671488 is a wasteful number, since it uses less digits than its factorization.

830671488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37990 (or 37975 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 830671488 is about 28821.3720700455. The cubic root of 830671488 is about 940.0330032173.

The spelling of 830671488 in words is "eight hundred thirty million, six hundred seventy-one thousand, four hundred eighty-eight".