919868040 has 384 divisors, whose sum is σ = 3770807040. Its totient is φ = 189278208.

The previous prime is 919868017. The next prime is 919868051. The reversal of 919868040 is 40868919.

919868040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×919868040² = 1692314422026883200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1408354 + ... + 1409006.

It is an arithmetic number, because the mean of its divisors is an integer number (9819810).

Almost surely, 2^919868040 is an apocalyptic number.

919868040 is a gapful number since it is divisible by the number (90) 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 919868040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885403520).

919868040 is an abundant number, since it is smaller than the sum of its proper divisors (2850939000).

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

919868040 is a wasteful number, since it uses less digits than its factorization.

919868040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 919868040 is about 30329.3264020156. The cubic root of 919868040 is about 972.5423229731.

The spelling of 919868040 in words is "nine hundred nineteen million, eight hundred sixty-eight thousand, forty".