1052040672 has 144 divisors (see below), whose sum is σ = 3074591520. Its totient is φ = 341093376.

The previous prime is 1052040653. The next prime is 1052040679. The reversal of 1052040672 is 2760402501.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×1052040672³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052040679) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2396229 + ... + 2396667.

It is an arithmetic number, because the mean of its divisors is an integer number (21351330).

Almost surely, 2^1052040672 is an apocalyptic number.

1052040672 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 1052040672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537295760).

1052040672 is an abundant number, since it is smaller than the sum of its proper divisors (2022550848).

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

1052040672 is a wasteful number, since it uses less digits than its factorization.

1052040672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1052040672 is about 32435.1764601335. The cubic root of 1052040672 is about 1017.0543851785.

The spelling of 1052040672 in words is "one billion, fifty-two million, forty thousand, six hundred seventy-two".