83427840 has 320 divisors, whose sum is σ = 318193920. Its totient is φ = 20643840.

The previous prime is 83427821. The next prime is 83427847. The reversal of 83427840 is 4872438.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 83427795 and 83427804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83427847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1175005 + ... + 1175075.

It is an arithmetic number, because the mean of its divisors is an integer number (994356).

Almost surely, 2^83427840 is an apocalyptic number.

83427840 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 83427840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159096960).

83427840 is an abundant number, since it is smaller than the sum of its proper divisors (234766080).

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

83427840 is a wasteful number, since it uses less digits than its factorization.

83427840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 83427840 is about 9133.8841683043. The cubic root of 83427840 is about 436.9552883439.

The spelling of 83427840 in words is "eighty-three million, four hundred twenty-seven thousand, eight hundred forty".