675026820 has 288 divisors, whose sum is σ = 2377589760. Its totient is φ = 153538560.

The previous prime is 675026801. The next prime is 675026827. The reversal of 675026820 is 28620576.

It is a super-2 number, since 2×675026820² = 911322415438624800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (675026827) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2824261 + ... + 2824499.

It is an arithmetic number, because the mean of its divisors is an integer number (8255520).

Almost surely, 2^675026820 is an apocalyptic number.

675026820 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 675026820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188794880).

675026820 is an abundant number, since it is smaller than the sum of its proper divisors (1702562940).

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

675026820 is a wasteful number, since it uses less digits than its factorization.

675026820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 675026820 is about 25981.2782595468. The cubic root of 675026820 is about 877.2169394071.

The spelling of 675026820 in words is "six hundred seventy-five million, twenty-six thousand, eight hundred twenty".