918152640 has 336 divisors, whose sum is σ = 3355043328. Its totient is φ = 229988352.

The previous prime is 918152639. The next prime is 918152659. The reversal of 918152640 is 46251819.

918152640 is a `hidden beast` number, since 9 + 1 + 8 + 1 + 5 + 2 + 640 = 666.

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 = 918152595 and 918152604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5497837 + ... + 5498003.

It is an arithmetic number, because the mean of its divisors is an integer number (9985248).

Almost surely, 2^918152640 is an apocalyptic number.

918152640 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 918152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677521664).

918152640 is an abundant number, since it is smaller than the sum of its proper divisors (2436890688).

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

918152640 is a wasteful number, since it uses less digits than its factorization.

918152640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 918152640 is about 30301.0336457356. The cubic root of 918152640 is about 971.9374038844.

The spelling of 918152640 in words is "nine hundred eighteen million, one hundred fifty-two thousand, six hundred forty".