1035606640 has 40 divisors (see below), whose sum is σ = 2410202880. Its totient is φ = 413826816.

The previous prime is 1035606623. The next prime is 1035606661. The reversal of 1035606640 is 466065301.

1035606640 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×1035606640³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81006 + ... + 92914.

It is an arithmetic number, because the mean of its divisors is an integer number (60255072).

Almost surely, 2^1035606640 is an apocalyptic number.

1035606640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1035606640 is an abundant number, since it is smaller than the sum of its proper divisors (1374596240).

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

1035606640 is a wasteful number, since it uses less digits than its factorization.

1035606640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13009 (or 13003 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 1035606640 is about 32180.8427484427. The cubic root of 1035606640 is about 1011.7307318415.

The spelling of 1035606640 in words is "one billion, thirty-five million, six hundred six thousand, six hundred forty".