1018533672 has 96 divisors (see below), whose sum is σ = 2979292680. Its totient is φ = 312491520.

The previous prime is 1018533661. The next prime is 1018533683. The reversal of 1018533672 is 2763358101.

It is an interprime number because it is at equal distance from previous prime (1018533661) and next prime (1018533683).

It can be written as a sum of positive squares in 4 ways, for example, as 687803076 + 330730596 = 26226^2 + 18186^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 370222 + ... + 372962.

Almost surely, 2^1018533672 is an apocalyptic number.

1018533672 is a gapful number since it is divisible by the number (12) 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 1018533672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489646340).

1018533672 is an abundant number, since it is smaller than the sum of its proper divisors (1960759008).

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

1018533672 is a wasteful number, since it uses less digits than its factorization.

1018533672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3163 (or 3156 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1018533672 is about 31914.4743337565. The cubic root of 1018533672 is about 1006.1401125221.

The spelling of 1018533672 in words is "one billion, eighteen million, five hundred thirty-three thousand, six hundred seventy-two".