1074964800 has 672 divisors, whose sum is σ = 4571707392. Its totient is φ = 214917120.

The previous prime is 1074964799. The next prime is 1074964841. The reversal of 1074964800 is 84694701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10046347 + ... + 10046453.

It is an arithmetic number, because the mean of its divisors is an integer number (6803136).

Almost surely, 2^1074964800 is an apocalyptic number.

1074964800 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 1074964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285853696).

1074964800 is an abundant number, since it is smaller than the sum of its proper divisors (3496742592).

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

1074964800 is a wasteful number, since it uses less digits than its factorization.

1074964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 1074964800 is about 32786.6558221481. The cubic root of 1074964800 is about 1024.3886260911.

The spelling of 1074964800 in words is "one billion, seventy-four million, nine hundred sixty-four thousand, eight hundred".