919012640 has 288 divisors, whose sum is σ = 2779951104. Its totient is φ = 284497920.

The previous prime is 919012637. The next prime is 919012643. The reversal of 919012640 is 46210919.

919012640 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (919012637) and next prime (919012643).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 919012597 and 919012606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (919012643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7236257 + ... + 7236383.

It is an arithmetic number, because the mean of its divisors is an integer number (9652608).

Almost surely, 2^919012640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 919012640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389975552).

919012640 is an abundant number, since it is smaller than the sum of its proper divisors (1860938464).

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

919012640 is a wasteful number, since it uses less digits than its factorization.

919012640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 919012640 is about 30315.2212592948. The cubic root of 919012640 is about 972.2407685944.

The spelling of 919012640 in words is "nine hundred nineteen million, twelve thousand, six hundred forty".