687155040 has 576 divisors, whose sum is σ = 2853107712. Its totient is φ = 148377600.

The previous prime is 687155023. The next prime is 687155089. The reversal of 687155040 is 40551786.

687155040 is a `hidden beast` number, since 68 + 7 + 1 + 550 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 687154986 and 687155004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9678205 + ... + 9678275.

It is an arithmetic number, because the mean of its divisors is an integer number (4953312).

Almost surely, 2^687155040 is an apocalyptic number.

687155040 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 687155040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426553856).

687155040 is an abundant number, since it is smaller than the sum of its proper divisors (2165952672).

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

687155040 is a wasteful number, since it uses less digits than its factorization.

687155040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 687155040 is about 26213.6422497905. The cubic root of 687155040 is about 882.4394435037.

The spelling of 687155040 in words is "six hundred eighty-seven million, one hundred fifty-five thousand, forty".