919880640 has 336 divisors, whose sum is σ = 3659355648. Its totient is φ = 207747072.

The previous prime is 919880627. The next prime is 919880641. The reversal of 919880640 is 46088919.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (919880641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2076259 + ... + 2076701.

Almost surely, 2^919880640 is an apocalyptic number.

919880640 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 919880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829677824).

919880640 is an abundant number, since it is smaller than the sum of its proper divisors (2739475008).

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

919880640 is a wasteful number, since it uses less digits than its factorization.

919880640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 563 counting only the distinct ones).

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

The square root of 919880640 is about 30329.5341210511. The cubic root of 919880640 is about 972.5467634569.

The spelling of 919880640 in words is "nine hundred nineteen million, eight hundred eighty thousand, six hundred forty".