687976146 has 192 divisors, whose sum is σ = 1875726720. Its totient is φ = 184204800.

The previous prime is 687976123. The next prime is 687976169. The reversal of 687976146 is 641679786.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (687976123) and next prime (687976169).

It is a super-2 number, since 2×687976146² = 946622354930026632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 687976092 and 687976101.

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 95 ways as a sum of consecutive naturals, for example, 12980656 + ... + 12980708.

It is an arithmetic number, because the mean of its divisors is an integer number (9769410).

Almost surely, 2^687976146 is an apocalyptic number.

687976146 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 687976146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937863360).

687976146 is an abundant number, since it is smaller than the sum of its proper divisors (1187750574).

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

687976146 is a wasteful number, since it uses less digits than its factorization.

687976146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 123 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 687976146 is about 26229.2993806545. The cubic root of 687976146 is about 882.7907896889.

The spelling of 687976146 in words is "six hundred eighty-seven million, nine hundred seventy-six thousand, one hundred forty-six".