83496240 has 120 divisors (see below), whose sum is σ = 283776480. Its totient is φ = 21998592.

The previous prime is 83496227. The next prime is 83496247. The reversal of 83496240 is 4269438.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 83496195 and 83496204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83496247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63429 + ... + 64731.

It is an arithmetic number, because the mean of its divisors is an integer number (2364804).

Almost surely, 2^83496240 is an apocalyptic number.

83496240 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 83496240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141888240).

83496240 is an abundant number, since it is smaller than the sum of its proper divisors (200280240).

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

83496240 is a wasteful number, since it uses less digits than its factorization.

83496240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 83496240 is about 9137.6277008860. The cubic root of 83496240 is about 437.0746712638.

The spelling of 83496240 in words is "eighty-three million, four hundred ninety-six thousand, two hundred forty".