84880405 has 32 divisors (see below), whose sum is σ = 112137696. Its totient is φ = 61415424.

The previous prime is 84880381. The next prime is 84880417. The reversal of 84880405 is 50408848.

It can be written as a sum of positive squares in 16 ways, for example, as 6345361 + 78535044 = 2519^2 + 8862^2 .

It is not a de Polignac number, because 84880405 - 2¹⁷ = 84749333 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 430767 + ... + 430963.

It is an arithmetic number, because the mean of its divisors is an integer number (3504303).

Almost surely, 2^84880405 is an apocalyptic number.

84880405 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

84880405 is a deficient number, since it is larger than the sum of its proper divisors (27257291).

84880405 is a wasteful number, since it uses less digits than its factorization.

84880405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393.

The product of its (nonzero) digits is 40960, while the sum is 37.

The square root of 84880405 is about 9213.0562247280. The cubic root of 84880405 is about 439.4766591154.

The spelling of 84880405 in words is "eighty-four million, eight hundred eighty thousand, four hundred five".