1072835940 has 96 divisors (see below), whose sum is σ = 3332689920. Its totient is φ = 255664000.

The previous prime is 1072835887. The next prime is 1072835957. The reversal of 1072835940 is 495382701.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25165 + ... + 52715.

It is an arithmetic number, because the mean of its divisors is an integer number (34715520).

Almost surely, 2^1072835940 is an apocalyptic number.

1072835940 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 1072835940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666344960).

1072835940 is an abundant number, since it is smaller than the sum of its proper divisors (2259853980).

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

1072835940 is a wasteful number, since it uses less digits than its factorization.

1072835940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27633 (or 27631 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 1072835940 is about 32754.1743904498. The cubic root of 1072835940 is about 1023.7119462092.

The spelling of 1072835940 in words is "one billion, seventy-two million, eight hundred thirty-five thousand, nine hundred forty".