18961740 has 144 divisors (see below), whose sum is σ = 66830400. Its totient is φ = 4262400.

The previous prime is 18961711. The next prime is 18961751. The reversal of 18961740 is 4716981.

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 = 18961695 and 18961704.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127186 + ... + 127334.

It is an arithmetic number, because the mean of its divisors is an integer number (464100).

Almost surely, 2^18961740 is an apocalyptic number.

18961740 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 18961740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33415200).

18961740 is an abundant number, since it is smaller than the sum of its proper divisors (47868660).

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

18961740 is a wasteful number, since it uses less digits than its factorization.

18961740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 18961740 is about 4354.5080089489. The cubic root of 18961740 is about 266.6609339045.

It can be divided in two parts, 18961 and 740, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 18961740 in words is "eighteen million, nine hundred sixty-one thousand, seven hundred forty".