1074800640 has 192 divisors, whose sum is σ = 3502699200. Its totient is φ = 281280512.

The previous prime is 1074800611. The next prime is 1074800689. The reversal of 1074800640 is 460084701.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1074800598 and 1074800607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1812184 + ... + 1812776.

It is an arithmetic number, because the mean of its divisors is an integer number (18243225).

Almost surely, 2^1074800640 is an apocalyptic number.

1074800640 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 1074800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751349600).

1074800640 is an abundant number, since it is smaller than the sum of its proper divisors (2427898560).

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

1074800640 is an equidigital number, since it uses as much as digits as its factorization.

1074800640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 1074800640 is about 32784.1522690461. The cubic root of 1074800640 is about 1024.3364779657.

The spelling of 1074800640 in words is "one billion, seventy-four million, eight hundred thousand, six hundred forty".