83496000 has 336 divisors, whose sum is σ = 325233792. Its totient is φ = 18816000.

The previous prime is 83495999. The next prime is 83496001. The reversal of 83496000 is 69438.

It is an interprime number because it is at equal distance from previous prime (83495999) and next prime (83496001).

It is a tau number, because it is divible by the number of its divisors (336).

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

It is not an unprimeable number, because it can be changed into a prime (83496001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1175965 + ... + 1176035.

Almost surely, 2^83496000 is an apocalyptic number.

83496000 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 83496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162616896).

83496000 is an abundant number, since it is smaller than the sum of its proper divisors (241737792).

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

83496000 is a wasteful number, since it uses less digits than its factorization.

83496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 83496000 is about 9137.6145683652. The cubic root of 83496000 is about 437.0742524903.

The spelling of 83496000 in words is "eighty-three million, four hundred ninety-six thousand".