1916663040 has 288 divisors, whose sum is σ = 7024819200. Its totient is φ = 494346240.

The previous prime is 1916663029. The next prime is 1916663051. The reversal of 1916663040 is 403666191.

It is an interprime number because it is at equal distance from previous prime (1916663029) and next prime (1916663051).

It is a tau number, because it is divible by the number of its divisors (288).

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 = 1916662986 and 1916663004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1070466 + ... + 1072254.

Almost surely, 2^1916663040 is an apocalyptic number.

1916663040 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 1916663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3512409600).

1916663040 is an abundant number, since it is smaller than the sum of its proper divisors (5108156160).

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

1916663040 is a wasteful number, since it uses less digits than its factorization.

1916663040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1916663040 is about 43779.7103690739. The cubic root of 1916663040 is about 1242.1725354837.

The spelling of 1916663040 in words is "one billion, nine hundred sixteen million, six hundred sixty-three thousand, forty".