83834240 has 64 divisors (see below), whose sum is σ = 229059360. Its totient is φ = 28741632.

The previous prime is 83834239. The next prime is 83834279. The reversal of 83834240 is 4243838.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 83834197 and 83834206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4877 + ... + 13836.

Almost surely, 2^83834240 is an apocalyptic number.

83834240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83834240 is an abundant number, since it is smaller than the sum of its proper divisors (145225120).

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

83834240 is a wasteful number, since it uses less digits than its factorization.

83834240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18739 (or 18727 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 83834240 is about 9156.1039749448. The cubic root of 83834240 is about 437.6636492547.

The spelling of 83834240 in words is "eighty-three million, eight hundred thirty-four thousand, two hundred forty".