1004010672 has 80 divisors (see below), whose sum is σ = 2969809920. Its totient is φ = 286319616.

The previous prime is 1004010661. The next prime is 1004010677. The reversal of 1004010672 is 2760104001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1004010677) 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, 196729 + ... + 201767.

It is an arithmetic number, because the mean of its divisors is an integer number (37122624).

Almost surely, 2^1004010672 is an apocalyptic number.

1004010672 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 1004010672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484904960).

1004010672 is an abundant number, since it is smaller than the sum of its proper divisors (1965799248).

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

1004010672 is a wasteful number, since it uses less digits than its factorization.

1004010672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5650 (or 5644 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 1004010672 is about 31686.1274377290. The cubic root of 1004010672 is about 1001.3351073617.

Adding to 1004010672 its reverse (2760104001), we get a palindrome (3764114673).

The spelling of 1004010672 in words is "one billion, four million, ten thousand, six hundred seventy-two".