914721840 has 240 divisors, whose sum is σ = 3184215840. Its totient is φ = 235192320.

The previous prime is 914721827. The next prime is 914721893. The reversal of 914721840 is 48127419.

914721840 is a `hidden beast` number, since 9 + 1 + 472 + 184 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 914721795 and 914721804.

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, 2591104 + ... + 2591456.

It is an arithmetic number, because the mean of its divisors is an integer number (13267566).

Almost surely, 2^914721840 is an apocalyptic number.

914721840 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 914721840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592107920).

914721840 is an abundant number, since it is smaller than the sum of its proper divisors (2269494000).

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

914721840 is a wasteful number, since it uses less digits than its factorization.

914721840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 914721840 is about 30244.3687320466. The cubic root of 914721840 is about 970.7253015825.

The spelling of 914721840 in words is "nine hundred fourteen million, seven hundred twenty-one thousand, eight hundred forty".