1004376672 has 240 divisors, whose sum is σ = 3263131872. Its totient is φ = 301086720.

The previous prime is 1004376649. The next prime is 1004376683. The reversal of 1004376672 is 2766734001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1381173 + ... + 1381899.

Almost surely, 2^1004376672 is an apocalyptic number.

1004376672 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 1004376672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631565936).

1004376672 is an abundant number, since it is smaller than the sum of its proper divisors (2258755200).

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

1004376672 is a wasteful number, since it uses less digits than its factorization.

1004376672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 1004376672 is about 31691.9023095806. The cubic root of 1004376672 is about 1001.4567674647.

The spelling of 1004376672 in words is "one billion, four million, three hundred seventy-six thousand, six hundred seventy-two".