687378120 has 256 divisors, whose sum is σ = 2484276480. Its totient is φ = 149913600.

The previous prime is 687378103. The next prime is 687378127. The reversal of 687378120 is 21873786.

It is not an unprimeable number, because it can be changed into a prime (687378127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 703072 + ... + 704048.

It is an arithmetic number, because the mean of its divisors is an integer number (9704205).

Almost surely, 2^687378120 is an apocalyptic number.

687378120 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 687378120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242138240).

687378120 is an abundant number, since it is smaller than the sum of its proper divisors (1796898360).

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

687378120 is a wasteful number, since it uses less digits than its factorization.

687378120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 687378120 is about 26217.8969408303. The cubic root of 687378120 is about 882.5349257365.

The spelling of 687378120 in words is "six hundred eighty-seven million, three hundred seventy-eight thousand, one hundred twenty".