914640000 has 320 divisors, whose sum is σ = 3148242240. Its totient is φ = 235008000.

The previous prime is 914639989. The next prime is 914640017. The reversal of 914640000 is 46419.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8879949 + ... + 8880051.

It is an arithmetic number, because the mean of its divisors is an integer number (9838257).

Almost surely, 2^914640000 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 914640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574121120).

914640000 is an abundant number, since it is smaller than the sum of its proper divisors (2233602240).

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

914640000 is a wasteful number, since it uses less digits than its factorization.

914640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 914640000 is about 30243.0157226425. The cubic root of 914640000 is about 970.6963505125.

Adding to 914640000 its reverse (46419), we get a palindrome (914686419).

The spelling of 914640000 in words is "nine hundred fourteen million, six hundred forty thousand".