902146806 has 48 divisors (see below), whose sum is σ = 2146002768. Its totient is φ = 271627200.

The previous prime is 902146801. The next prime is 902146807. The reversal of 902146806 is 608641209.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (902146801) 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, 16576 + ... + 45596.

It is an arithmetic number, because the mean of its divisors is an integer number (44708391).

Almost surely, 2^902146806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 902146806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073001384).

902146806 is an abundant number, since it is smaller than the sum of its proper divisors (1243855962).

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

902146806 is a wasteful number, since it uses less digits than its factorization.

902146806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29197 (or 29194 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 902146806 is about 30035.7587884841. The cubic root of 902146806 is about 966.2564485087.

It can be divided in two parts, 90214 and 6806, that added together give a triangular number (97020 = T₄₄₀).

The spelling of 902146806 in words is "nine hundred two million, one hundred forty-six thousand, eight hundred six".