672536610 has 96 divisors (see below), whose sum is σ = 1791532080. Its totient is φ = 174979584.

The previous prime is 672536603. The next prime is 672536617. The reversal of 672536610 is 16635276.

672536610 is a `hidden beast` number, since 6 + 7 + 2 + 5 + 36 + 610 = 666.

It is an interprime number because it is at equal distance from previous prime (672536603) and next prime (672536617).

It can be written as a sum of positive squares in 8 ways, for example, as 359140401 + 313396209 = 18951^2 + 17703^2 .

It is not an unprimeable number, because it can be changed into a prime (672536617) 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, 1321036 + ... + 1321544.

Almost surely, 2^672536610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 672536610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895766040).

672536610 is an abundant number, since it is smaller than the sum of its proper divisors (1118995470).

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

672536610 is a wasteful number, since it uses less digits than its factorization.

672536610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 672536610 is about 25933.3108183278. The cubic root of 672536610 is about 876.1369101706.

The spelling of 672536610 in words is "six hundred seventy-two million, five hundred thirty-six thousand, six hundred ten".