676578240 has 336 divisors, whose sum is σ = 2656075968. Its totient is φ = 156598272.

The previous prime is 676578173. The next prime is 676578247. The reversal of 676578240 is 42875676.

676578240 is a `hidden beast` number, since 6 + 76 + 578 + 2 + 4 + 0 = 666.

It is a super-2 number, since 2×676578240² = 915516229682995200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (676578247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 635949 + ... + 637011.

It is an arithmetic number, because the mean of its divisors is an integer number (7904988).

Almost surely, 2^676578240 is an apocalyptic number.

676578240 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 676578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328037984).

676578240 is an abundant number, since it is smaller than the sum of its proper divisors (1979497728).

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

676578240 is a wasteful number, since it uses less digits than its factorization.

676578240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 676578240 is about 26011.1176230473. The cubic root of 676578240 is about 877.8884636484. Note that the first 3 decimals are identical.

The spelling of 676578240 in words is "six hundred seventy-six million, five hundred seventy-eight thousand, two hundred forty".