1035309672 has 48 divisors (see below), whose sum is σ = 2925879840. Its totient is φ = 330098208.

The previous prime is 1035309647. The next prime is 1035309679. The reversal of 1035309672 is 2769035301.

It is a super-2 number, since 2×1035309672² = 2143732233873495168, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1035309679) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 310938 + ... + 314249.

It is an arithmetic number, because the mean of its divisors is an integer number (60955830).

Almost surely, 2^1035309672 is an apocalyptic number.

1035309672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1035309672 is an abundant number, since it is smaller than the sum of its proper divisors (1890570168).

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

1035309672 is a wasteful number, since it uses less digits than its factorization.

1035309672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625222 (or 625215 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 1035309672 is about 32176.2283681602. The cubic root of 1035309672 is about 1011.6340154617.

The spelling of 1035309672 in words is "one billion, thirty-five million, three hundred nine thousand, six hundred seventy-two".