84259840 has 88 divisors (see below), whose sum is σ = 231098112. Its totient is φ = 28876800.

The previous prime is 84259807. The next prime is 84259843. The reversal of 84259840 is 4895248.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 84259793 and 84259802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84259843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34665 + ... + 37015.

Almost surely, 2^84259840 is an apocalyptic number.

84259840 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 84259840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115549056).

84259840 is an abundant number, since it is smaller than the sum of its proper divisors (146838272).

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

84259840 is a wasteful number, since it uses less digits than its factorization.

84259840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2383 (or 2365 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 84259840 is about 9179.3158786480. The cubic root of 84259840 is about 438.4030262458.

The spelling of 84259840 in words is "eighty-four million, two hundred fifty-nine thousand, eight hundred forty".