83490400 has 144 divisors (see below), whose sum is σ = 246921696. Its totient is φ = 26910720.

The previous prime is 83490371. The next prime is 83490419. The reversal of 83490400 is 409438.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94762 + ... + 95638.

It is an arithmetic number, because the mean of its divisors is an integer number (1714734).

Almost surely, 2^83490400 is an apocalyptic number.

83490400 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 83490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123460848).

83490400 is an abundant number, since it is smaller than the sum of its proper divisors (163431296).

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

83490400 is a wasteful number, since it uses less digits than its factorization.

83490400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 908 counting only the distinct ones).

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

The square root of 83490400 is about 9137.3081375206. The cubic root of 83490400 is about 437.0644808824.

Adding to 83490400 its reverse (409438), we get a palindrome (83899838).

The spelling of 83490400 in words is "eighty-three million, four hundred ninety thousand, four hundred".