1916416260 has 480 divisors, whose sum is σ = 6987302784. Its totient is φ = 435456000.

The previous prime is 1916416259. The next prime is 1916416267. The reversal of 1916416260 is 626146191.

1916416260 is a `hidden beast` number, since 1 + 9 + 1 + 641 + 6 + 2 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1916416267) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 31416630 + ... + 31416690.

Almost surely, 2^1916416260 is an apocalyptic number.

1916416260 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 1916416260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3493651392).

1916416260 is an abundant number, since it is smaller than the sum of its proper divisors (5070886524).

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

1916416260 is a wasteful number, since it uses less digits than its factorization.

1916416260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1916416260 is about 43776.8918494678. The cubic root of 1916416260 is about 1242.1192212096.

The spelling of 1916416260 in words is "one billion, nine hundred sixteen million, four hundred sixteen thousand, two hundred sixty".