1036482624 has 84 divisors (see below), whose sum is σ = 3043420380. Its totient is φ = 337059840.

The previous prime is 1036482619. The next prime is 1036482647. The reversal of 1036482624 is 4262846301.

1036482624 is a `hidden beast` number, since 1 + 0 + 3 + 648 + 2 + 6 + 2 + 4 = 666.

1036482624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 508953600 + 527529024 = 22560^2 + 22968^2 .

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 11 ways as a sum of consecutive naturals, for example, 1672 + ... + 45560.

It is an arithmetic number, because the mean of its divisors is an integer number (36231195).

Almost surely, 2^1036482624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1036482624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521710190).

1036482624 is an abundant number, since it is smaller than the sum of its proper divisors (2006937756).

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

1036482624 is a wasteful number, since it uses less digits than its factorization.

1036482624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43948 (or 43935 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 1036482624 is about 32194.4502049655. The cubic root of 1036482624 is about 1012.0159141784.

The spelling of 1036482624 in words is "one billion, thirty-six million, four hundred eighty-two thousand, six hundred twenty-four".