812601088 has 144 divisors (see below), whose sum is σ = 1891403136. Its totient is φ = 345047040.

The previous prime is 812601043. The next prime is 812601091. The reversal of 812601088 is 880106218.

It is a super-3 number, since 3×812601088³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2998393 + ... + 2998663.

It is an arithmetic number, because the mean of its divisors is an integer number (13134744).

Almost surely, 2^812601088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 812601088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945701568).

812601088 is an abundant number, since it is smaller than the sum of its proper divisors (1078802048).

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

812601088 is a wasteful number, since it uses less digits than its factorization.

812601088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 34.

The square root of 812601088 is about 28506.1587731494. The cubic root of 812601088 is about 933.1664862752.

The spelling of 812601088 in words is "eight hundred twelve million, six hundred one thousand, eighty-eight".