675611820 has 192 divisors, whose sum is σ = 2281722240. Its totient is φ = 164975616.

The previous prime is 675611809. The next prime is 675611831. The reversal of 675611820 is 28116576.

675611820 is a `hidden beast` number, since 67 + 561 + 18 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (675611809) and next prime (675611831).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1101834 + ... + 1102446.

It is an arithmetic number, because the mean of its divisors is an integer number (11883970).

Almost surely, 2^675611820 is an apocalyptic number.

675611820 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 675611820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140861120).

675611820 is an abundant number, since it is smaller than the sum of its proper divisors (1606110420).

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

675611820 is a wasteful number, since it uses less digits than its factorization.

675611820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 675611820 is about 25992.5339280340. The cubic root of 675611820 is about 877.4702743967.

The spelling of 675611820 in words is "six hundred seventy-five million, six hundred eleven thousand, eight hundred twenty".