832638480 has 160 divisors (see below), whose sum is σ = 2671864704. Its totient is φ = 214376448.

The previous prime is 832638451. The next prime is 832638509. The reversal of 832638480 is 84836238.

It is an interprime number because it is at equal distance from previous prime (832638451) and next prime (832638509).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 851752 + ... + 852728.

Almost surely, 2^832638480 is an apocalyptic number.

832638480 is a gapful number since it is divisible by the number (80) 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 832638480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335932352).

832638480 is an abundant number, since it is smaller than the sum of its proper divisors (1839226224).

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

832638480 is a wasteful number, since it uses less digits than its factorization.

832638480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 832638480 is about 28855.4757368511. The cubic root of 832638480 is about 940.7744033424.

The spelling of 832638480 in words is "eight hundred thirty-two million, six hundred thirty-eight thousand, four hundred eighty".