83996000 has 192 divisors, whose sum is σ = 237758976. Its totient is φ = 28864000.

The previous prime is 83995993. The next prime is 83996047. The reversal of 83996000 is 69938.

83996000 = T₄₇₃ + T₄₇₄ + ... + T₈₄₇.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1011959 + ... + 1012041.

It is an arithmetic number, because the mean of its divisors is an integer number (1238328).

Almost surely, 2^83996000 is an apocalyptic number.

83996000 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 83996000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118879488).

83996000 is an abundant number, since it is smaller than the sum of its proper divisors (153762976).

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

83996000 is a wasteful number, since it uses less digits than its factorization.

83996000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 83996000 is about 9164.9331694236. The cubic root of 83996000 is about 437.9449622608.

The spelling of 83996000 in words is "eighty-three million, nine hundred ninety-six thousand".