607828320 has 192 divisors, whose sum is σ = 2320980480. Its totient is φ = 147340800.

The previous prime is 607828307. The next prime is 607828343. The reversal of 607828320 is 23828706.

It is a happy number.

607828320 is a `hidden beast` number, since 607 + 8 + 28 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41125 + ... + 53915.

It is an arithmetic number, because the mean of its divisors is an integer number (12088440).

Almost surely, 2^607828320 is an apocalyptic number.

607828320 is a gapful number since it is divisible by the number (60) 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 607828320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160490240).

607828320 is an abundant number, since it is smaller than the sum of its proper divisors (1713152160).

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

607828320 is a wasteful number, since it uses less digits than its factorization.

607828320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12826 (or 12812 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 607828320 is about 24654.1744943934. The cubic root of 607828320 is about 847.0849718235.

The spelling of 607828320 in words is "six hundred seven million, eight hundred twenty-eight thousand, three hundred twenty".