1001935872 has 352 divisors, whose sum is σ = 3521495040. Its totient is φ = 275374080.

The previous prime is 1001935871. The next prime is 1001935897. The reversal of 1001935872 is 2785391001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001935871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5999533 + ... + 5999699.

Almost surely, 2^1001935872 is an apocalyptic number.

1001935872 is a gapful number since it is divisible by the number (12) 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 1001935872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760747520).

1001935872 is an abundant number, since it is smaller than the sum of its proper divisors (2519559168).

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

1001935872 is a wasteful number, since it uses less digits than its factorization.

1001935872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1001935872 is about 31653.3706262066. The cubic root of 1001935872 is about 1000.6448747139.

The spelling of 1001935872 in words is "one billion, one million, nine hundred thirty-five thousand, eight hundred seventy-two".