607971840 has 320 divisors, whose sum is σ = 2281568256. Its totient is φ = 135217152.

The previous prime is 607971839. The next prime is 607971841. The reversal of 607971840 is 48179706.

It is an interprime number because it is at equal distance from previous prime (607971839) and next prime (607971841).

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 607971792 and 607971801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (607971841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2311549 + ... + 2311811.

Almost surely, 2^607971840 is an apocalyptic number.

607971840 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 607971840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140784128).

607971840 is an abundant number, since it is smaller than the sum of its proper divisors (1673596416).

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

607971840 is a wasteful number, since it uses less digits than its factorization.

607971840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 607971840 is about 24657.0849858616. The cubic root of 607971840 is about 847.1516376148.

The spelling of 607971840 in words is "six hundred seven million, nine hundred seventy-one thousand, eight hundred forty".