900084096 has 64 divisors (see below), whose sum is σ = 2656508400. Its totient is φ = 300026880.

The previous prime is 900084061. The next prime is 900084113. The reversal of 900084096 is 690480009.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a self number, because there is not a number n which added to its sum of digits gives 900084096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126765 + ... + 133676.

Almost surely, 2^900084096 is an apocalyptic number.

900084096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

900084096 is an abundant number, since it is smaller than the sum of its proper divisors (1756424304).

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

900084096 is a wasteful number, since it uses less digits than its factorization.

900084096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260464 (or 260446 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 900084096 is about 30001.4015672602. The cubic root of 900084096 is about 965.5194554451.

It can be divided in two parts, 9000 and 84096, that added together give a triangular number (93096 = T₄₃₁).

The spelling of 900084096 in words is "nine hundred million, eighty-four thousand, ninety-six".