607020960 has 288 divisors, whose sum is σ = 2368517760. Its totient is φ = 127954944.

The previous prime is 607020959. The next prime is 607020983. The reversal of 607020960 is 69020706.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 567306 + ... + 568374.

It is an arithmetic number, because the mean of its divisors is an integer number (8224020).

Almost surely, 2^607020960 is an apocalyptic number.

607020960 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 607020960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184258880).

607020960 is an abundant number, since it is smaller than the sum of its proper divisors (1761496800).

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

607020960 is a wasteful number, since it uses less digits than its factorization.

607020960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 607020960 is about 24637.7953559161. The cubic root of 607020960 is about 846.7097531824.

The spelling of 607020960 in words is "six hundred seven million, twenty thousand, nine hundred sixty".