1035640416 has 48 divisors (see below), whose sum is σ = 2723886144. Its totient is φ = 344536704.

The previous prime is 1035640409. The next prime is 1035640421. The reversal of 1035640416 is 6140465301.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×1035640416³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39895 + ... + 60521.

It is an arithmetic number, because the mean of its divisors is an integer number (56747628).

Almost surely, 2^1035640416 is an apocalyptic number.

1035640416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1035640416 is an abundant number, since it is smaller than the sum of its proper divisors (1688245728).

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

1035640416 is a wasteful number, since it uses less digits than its factorization.

1035640416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21163 (or 21155 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 1035640416 is about 32181.3675284317. The cubic root of 1035640416 is about 1011.7417308201.

The spelling of 1035640416 in words is "one billion, thirty-five million, six hundred forty thousand, four hundred sixteen".