1000934736 has 80 divisors (see below), whose sum is σ = 2660782080. Its totient is φ = 324051840.

The previous prime is 1000934731. The next prime is 1000934747. The reversal of 1000934736 is 6374390001.

It is a junction number, because it is equal to n+sod(n) for n = 1000934697 and 1000934706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000934731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 392955 + ... + 395493.

It is an arithmetic number, because the mean of its divisors is an integer number (33259776).

Almost surely, 2^1000934736 is an apocalyptic number.

1000934736 is a gapful number since it is divisible by the number (16) 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 1000934736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330391040).

1000934736 is an abundant number, since it is smaller than the sum of its proper divisors (1659847344).

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

1000934736 is a wasteful number, since it uses less digits than its factorization.

1000934736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 1000934736 is about 31637.5526234252. The cubic root of 1000934736 is about 1000.3114816358.

The spelling of 1000934736 in words is "one billion, nine hundred thirty-four thousand, seven hundred thirty-six".