827048544 has 48 divisors (see below), whose sum is σ = 2481147648. Its totient is φ = 236299392.

The previous prime is 827048543. The next prime is 827048561. The reversal of 827048544 is 445840728.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 827048496 and 827048505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827048543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 614692 + ... + 616035.

It is an arithmetic number, because the mean of its divisors is an integer number (51690576).

Almost surely, 2^827048544 is an apocalyptic number.

827048544 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

827048544 is an abundant number, since it is smaller than the sum of its proper divisors (1654099104).

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

827048544 is a wasteful number, since it uses less digits than its factorization.

827048544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230747 (or 1230739 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 42.

The square root of 827048544 is about 28758.4516968490. The cubic root of 827048544 is about 938.6643714253.

The spelling of 827048544 in words is "eight hundred twenty-seven million, forty-eight thousand, five hundred forty-four".