83641600 has 108 divisors (see below), whose sum is σ = 236727904. Its totient is φ = 28661760.

The previous prime is 83641567. The next prime is 83641601. The reversal of 83641600 is 614638.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83641601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43867 + ... + 45733.

Almost surely, 2^83641600 is an apocalyptic number.

83641600 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 83641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118363952).

83641600 is an abundant number, since it is smaller than the sum of its proper divisors (153086304).

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

83641600 is a wasteful number, since it uses less digits than its factorization.

83641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 83641600 is about 9145.5781665240. The cubic root of 83641600 is about 437.3281610863.

It can be divided in two parts, 836 and 41600, that added together give a square (42436 = 206²).

The spelling of 83641600 in words is "eighty-three million, six hundred forty-one thousand, six hundred".