84909440 has 128 divisors (see below), whose sum is σ = 253221120. Its totient is φ = 26449920.

The previous prime is 84909431. The next prime is 84909457. The reversal of 84909440 is 4490948.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×84909440² = 14419226002227200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 84909394 and 84909403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48419 + ... + 50141.

It is an arithmetic number, because the mean of its divisors is an integer number (1978290).

Almost surely, 2^84909440 is an apocalyptic number.

84909440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126610560).

84909440 is an abundant number, since it is smaller than the sum of its proper divisors (168311680).

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

84909440 is a wasteful number, since it uses less digits than its factorization.

84909440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 84909440 is about 9214.6318428899. The cubic root of 84909440 is about 439.5267639271.

The spelling of 84909440 in words is "eighty-four million, nine hundred nine thousand, four hundred forty".