676586400 has 576 divisors, whose sum is σ = 2807820288. Its totient is φ = 137871360.

The previous prime is 676586399. The next prime is 676586401. The reversal of 676586400 is 4685676.

It is a happy number.

676586400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (676586399) and next prime (676586401).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (676586401) by changing a digit.

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, 6568749 + ... + 6568851.

It is an arithmetic number, because the mean of its divisors is an integer number (4874688).

Almost surely, 2^676586400 is an apocalyptic number.

676586400 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 676586400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403910144).

676586400 is an abundant number, since it is smaller than the sum of its proper divisors (2131233888).

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

676586400 is a wasteful number, since it uses less digits than its factorization.

676586400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 676586400 is about 26011.2744785795. The cubic root of 676586400 is about 877.8919929476.

The spelling of 676586400 in words is "six hundred seventy-six million, five hundred eighty-six thousand, four hundred".