1035640431 has 48 divisors (see below), whose sum is σ = 1846389600. Its totient is φ = 571366656.

The previous prime is 1035640427. The next prime is 1035640447. The reversal of 1035640431 is 1340465301.

1035640431 is a `hidden beast` number, since 10 + 3 + 5 + 640 + 4 + 3 + 1 = 666.

It is not a de Polignac number, because 1035640431 - 2² = 1035640427 is a prime.

It is a super-3 number, since 3×1035640431³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1035640395 and 1035640404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1035640421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24871 + ... + 51863.

It is an arithmetic number, because the mean of its divisors is an integer number (38466450).

Almost surely, 2^1035640431 is an apocalyptic number.

1035640431 is a deficient number, since it is larger than the sum of its proper divisors (810749169).

1035640431 is a wasteful number, since it uses less digits than its factorization.

1035640431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27045 (or 27032 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1035640431 is about 32181.3677614858. The cubic root of 1035640431 is about 1011.7417357047.

The spelling of 1035640431 in words is "one billion, thirty-five million, six hundred forty thousand, four hundred thirty-one".