84635040 has 96 divisors (see below), whose sum is σ = 304698240. Its totient is φ = 19344384.

The previous prime is 84634981. The next prime is 84635041. The reversal of 84635040 is 4053648.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 84634989 and 84635007.

It is not an unprimeable number, because it can be changed into a prime (84635041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9235 + ... + 15954.

It is an arithmetic number, because the mean of its divisors is an integer number (3173940).

Almost surely, 2^84635040 is an apocalyptic number.

84635040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84635040 is an abundant number, since it is smaller than the sum of its proper divisors (220063200).

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

84635040 is a wasteful number, since it uses less digits than its factorization.

84635040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25214 (or 25206 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 84635040 is about 9199.7304308333. The cubic root of 84635040 is about 439.0527832646.

Adding to 84635040 its reverse (4053648), we get a palindrome (88688688).

The spelling of 84635040 in words is "eighty-four million, six hundred thirty-five thousand, forty".