18861480 has 144 divisors (see below), whose sum is σ = 67534740. Its totient is φ = 4561920.

The previous prime is 18861461. The next prime is 18861499. The reversal of 18861480 is 8416881.

It is an interprime number because it is at equal distance from previous prime (18861461) and next prime (18861499).

It can be written as a sum of positive squares in 2 ways, for example, as 17288964 + 1572516 = 4158^2 + 1254^2 .

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 35 ways as a sum of consecutive naturals, for example, 43344 + ... + 43776.

Almost surely, 2^18861480 is an apocalyptic number.

18861480 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 18861480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33767370).

18861480 is an abundant number, since it is smaller than the sum of its proper divisors (48673260).

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

18861480 is a wasteful number, since it uses less digits than its factorization.

18861480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 18861480 is about 4342.9805433596. The cubic root of 18861480 is about 266.1901141515.

The spelling of 18861480 in words is "eighteen million, eight hundred sixty-one thousand, four hundred eighty".