1093962240 has 960 divisors, whose sum is σ = 5038070400. Its totient is φ = 222953472.

The previous prime is 1093962211. The next prime is 1093962251. The reversal of 1093962240 is 422693901.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1093962195 and 1093962204.

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, 57576951 + ... + 57576969.

It is an arithmetic number, because the mean of its divisors is an integer number (5247990).

Almost surely, 2^1093962240 is an apocalyptic number.

1093962240 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 1093962240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519035200).

1093962240 is an abundant number, since it is smaller than the sum of its proper divisors (3944108160).

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

1093962240 is a wasteful number, since it uses less digits than its factorization.

1093962240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1093962240 is about 33075.0999998488. The cubic root of 1093962240 is about 1030.3879645727.

The spelling of 1093962240 in words is "one billion, ninety-three million, nine hundred sixty-two thousand, two hundred forty".