1636268040 has 320 divisors, whose sum is σ = 6197368320. Its totient is φ = 383616000.

The previous prime is 1636268021. The next prime is 1636268041. The reversal of 1636268040 is 408626361.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1636267986 and 1636268004.

It is not an unprimeable number, because it can be changed into a prime (1636268041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1104100 + ... + 1105580.

It is an arithmetic number, because the mean of its divisors is an integer number (19366776).

Almost surely, 2^1636268040 is an apocalyptic number.

1636268040 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 1636268040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3098684160).

1636268040 is an abundant number, since it is smaller than the sum of its proper divisors (4561100280).

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

1636268040 is a wasteful number, since it uses less digits than its factorization.

1636268040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1636268040 is about 40450.8101278578. The cubic root of 1636268040 is about 1178.3785159576.

The spelling of 1636268040 in words is "one billion, six hundred thirty-six million, two hundred sixty-eight thousand, forty".