1036725984 has 72 divisors (see below), whose sum is σ = 3369366000. Its totient is φ = 296206848.

The previous prime is 1036725983. The next prime is 1036725997. The reversal of 1036725984 is 4895276301.

1036725984 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

1036725984 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1036725983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 255109 + ... + 259140.

It is an arithmetic number, because the mean of its divisors is an integer number (46796750).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1036725984 = 2073451968, but 3⋅1036725984 = 3110177952 is not.

Almost surely, 2^1036725984 is an apocalyptic number.

1036725984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1036725984 is an abundant number, since it is smaller than the sum of its proper divisors (2332640016).

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

1036725984 is a wasteful number, since it uses less digits than its factorization.

1036725984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514272 (or 514261 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1036725984 is about 32198.2295165433. The cubic root of 1036725984 is about 1012.0951131006.

The spelling of 1036725984 in words is "one billion, thirty-six million, seven hundred twenty-five thousand, nine hundred eighty-four".