1036136640 has 448 divisors, whose sum is σ = 4171419648. Its totient is φ = 211660800.

The previous prime is 1036136627. The next prime is 1036136657. The reversal of 1036136640 is 466316301.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×1036136640³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1036136598 and 1036136607.

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, 7909375 + ... + 7909505.

Almost surely, 2^1036136640 is an apocalyptic number.

1036136640 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 1036136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085709824).

1036136640 is an abundant number, since it is smaller than the sum of its proper divisors (3135283008).

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

1036136640 is a wasteful number, since it uses less digits than its factorization.

1036136640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 1036136640 is about 32189.0764079990. The cubic root of 1036136640 is about 1011.9032960239.

The spelling of 1036136640 in words is "one billion, thirty-six million, one hundred thirty-six thousand, six hundred forty".