1041564000 has 384 divisors, whose sum is σ = 3665450880. Its totient is φ = 258048000.

The previous prime is 1041563951. The next prime is 1041564061. The reversal of 1041564000 is 4651401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14267964 + ... + 14268036.

It is an arithmetic number, because the mean of its divisors is an integer number (9545445).

Almost surely, 2^1041564000 is an apocalyptic number.

1041564000 is a gapful number since it is divisible by the number (10) 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 1041564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832725440).

1041564000 is an abundant number, since it is smaller than the sum of its proper divisors (2623886880).

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

1041564000 is a wasteful number, since it uses less digits than its factorization.

1041564000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1041564000 is about 32273.2706740423. The cubic root of 1041564000 is about 1013.6670280665.

The spelling of 1041564000 in words is "one billion, forty-one million, five hundred sixty-four thousand".