1004098160 has 80 divisors (see below), whose sum is σ = 2572689504. Its totient is φ = 362105856.

The previous prime is 1004098127. The next prime is 1004098163. The reversal of 1004098160 is 618904001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1004098160² = 2016426229830771200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004098163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33494 + ... + 55946.

Almost surely, 2^1004098160 is an apocalyptic number.

1004098160 is a gapful number since it is divisible by the number (10) 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 1004098160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286344752).

1004098160 is an abundant number, since it is smaller than the sum of its proper divisors (1568591344).

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

1004098160 is a wasteful number, since it uses less digits than its factorization.

1004098160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22522 (or 22516 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 1004098160 is about 31687.5079487170. The cubic root of 1004098160 is about 1001.3641914687.

The spelling of 1004098160 in words is "one billion, four million, ninety-eight thousand, one hundred sixty".