1013643000 has 288 divisors, whose sum is σ = 3564128880. Its totient is φ = 259776000.

The previous prime is 1013642957. The next prime is 1013643011. The reversal of 1013643000 is 3463101.

1013643000 is a `hidden beast` number, since 1 + 0 + 1 + 364 + 300 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15128967 + ... + 15129033.

Almost surely, 2^1013643000 is an apocalyptic number.

1013643000 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 1013643000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782064440).

1013643000 is an abundant number, since it is smaller than the sum of its proper divisors (2550485880).

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

1013643000 is a wasteful number, since it uses less digits than its factorization.

1013643000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1013643000 is about 31837.7605996402. The cubic root of 1013643000 is about 1004.5271407355.

The spelling of 1013643000 in words is "one billion, thirteen million, six hundred forty-three thousand".