1633540560 has 160 divisors (see below), whose sum is σ = 5197167360. Its totient is φ = 424280064.

The previous prime is 1633540541. The next prime is 1633540583. The reversal of 1633540560 is 650453361.

It is a super-2 number, since 2×1633540560² = 5336909522330227200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2123856 + ... + 2124624.

It is an arithmetic number, because the mean of its divisors is an integer number (32482296).

Almost surely, 2^1633540560 is an apocalyptic number.

1633540560 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 1633540560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2598583680).

1633540560 is an abundant number, since it is smaller than the sum of its proper divisors (3563626800).

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

1633540560 is a wasteful number, since it uses less digits than its factorization.

1633540560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 1633540560 is about 40417.0825270702. The cubic root of 1633540560 is about 1177.7234090905.

It can be divided in two parts, 16335 and 40560, that multiplied together give a square (662547600 = 25740²).

The spelling of 1633540560 in words is "one billion, six hundred thirty-three million, five hundred forty thousand, five hundred sixty".