820040088 has 96 divisors (see below), whose sum is σ = 2403466560. Its totient is φ = 232464960.

The previous prime is 820040087. The next prime is 820040099. The reversal of 820040088 is 880040028.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820040087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151395 + ... + 156717.

It is an arithmetic number, because the mean of its divisors is an integer number (25036110).

Almost surely, 2^820040088 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 820040088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201733280).

820040088 is an abundant number, since it is smaller than the sum of its proper divisors (1583426472).

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

820040088 is a wasteful number, since it uses less digits than its factorization.

820040088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5477 (or 5466 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 820040088 is about 28636.3420848404. The cubic root of 820040088 is about 936.0054149004.

The spelling of 820040088 in words is "eight hundred twenty million, forty thousand, eighty-eight".