336320640 has 128 divisors (see below), whose sum is σ = 1191196800. Its totient is φ = 89680896.

The previous prime is 336320629. The next prime is 336320641. The reversal of 336320640 is 46023633.

336320640 is a `hidden beast` number, since 336 + 320 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×336320640² = 226223145780019200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (336320641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7549 + ... + 27011.

It is an arithmetic number, because the mean of its divisors is an integer number (9306225).

Almost surely, 2^336320640 is an apocalyptic number.

336320640 is a gapful number since it is divisible by the number (30) 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 336320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595598400).

336320640 is an abundant number, since it is smaller than the sum of its proper divisors (854876160).

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

336320640 is a wasteful number, since it uses less digits than its factorization.

336320640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19491 (or 19473 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 336320640 is about 18339.0468672720. The cubic root of 336320640 is about 695.4264001751.

The spelling of 336320640 in words is "three hundred thirty-six million, three hundred twenty thousand, six hundred forty".