1035640320 has 640 divisors, whose sum is σ = 4157733888. Its totient is φ = 216268800.

The previous prime is 1035640273. The next prime is 1035640409. The reversal of 1035640320 is 230465301.

It is a happy number.

1035640320 is digitally balanced in base 2, 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 (640).

It is a super-3 number, since 3×1035640320³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25259500 + ... + 25259540.

Almost surely, 2^1035640320 is an apocalyptic number.

1035640320 is a gapful number since it is divisible by the number (10) 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 1035640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078866944).

1035640320 is an abundant number, since it is smaller than the sum of its proper divisors (3122093568).

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

1035640320 is a wasteful number, since it uses less digits than its factorization.

1035640320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 1035640320 is about 32181.3660368854. The cubic root of 1035640320 is about 1011.7416995585.

The spelling of 1035640320 in words is "one billion, thirty-five million, six hundred forty thousand, three hundred twenty".