1074313600 has 96 divisors (see below), whose sum is σ = 2678277240. Its totient is φ = 425779200.

The previous prime is 1074313573. The next prime is 1074313607. The reversal of 1074313600 is 63134701.

It is a super-2 number, since 2×1074313600² = 2308299422289920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1074313607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 360115 + ... + 363085.

Almost surely, 2^1074313600 is an apocalyptic number.

1074313600 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 1074313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339138620).

1074313600 is an abundant number, since it is smaller than the sum of its proper divisors (1603963640).

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

1074313600 is a wasteful number, since it uses less digits than its factorization.

1074313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3108 (or 3091 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 1074313600 is about 32776.7234482033. The cubic root of 1074313600 is about 1024.1817304415.

The spelling of 1074313600 in words is "one billion, seventy-four million, three hundred thirteen thousand, six hundred".