1073307840 has 448 divisors, whose sum is σ = 3969520128. Its totient is φ = 243302400.

The previous prime is 1073307827. The next prime is 1073307841. The reversal of 1073307840 is 487033701.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1073307841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16019487 + ... + 16019553.

It is an arithmetic number, because the mean of its divisors is an integer number (8860536).

Almost surely, 2^1073307840 is an apocalyptic number.

1073307840 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 1073307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984760064).

1073307840 is an abundant number, since it is smaller than the sum of its proper divisors (2896212288).

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

1073307840 is a wasteful number, since it uses less digits than its factorization.

1073307840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 1073307840 is about 32761.3772604266. The cubic root of 1073307840 is about 1023.8620216108.

The spelling of 1073307840 in words is "one billion, seventy-three million, three hundred seven thousand, eight hundred forty".