813165420 has 96 divisors (see below), whose sum is σ = 2537740800. Its totient is φ = 193342464.

The previous prime is 813165413. The next prime is 813165421. The reversal of 813165420 is 24561318.

It is a super-2 number, since 2×813165420² = 1322476000567552800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (813165421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1600 + ... + 40359.

It is an arithmetic number, because the mean of its divisors is an integer number (26434800).

Almost surely, 2^813165420 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 813165420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268870400).

813165420 is an abundant number, since it is smaller than the sum of its proper divisors (1724575380).

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

813165420 is a wasteful number, since it uses less digits than its factorization.

813165420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42007 (or 42005 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 813165420 is about 28516.0554775726. The cubic root of 813165420 is about 933.3824568816.

It can be divided in two parts, 81316 and 5420, that added together give a triangular number (86736 = T₄₁₆).

The spelling of 813165420 in words is "eight hundred thirteen million, one hundred sixty-five thousand, four hundred twenty".