83598480 has 400 divisors, whose sum is σ = 352894080. Its totient is φ = 17915904.

The previous prime is 83598479. The next prime is 83598497. The reversal of 83598480 is 8489538.

83598480 is a `hidden beast` number, since 83 + 5 + 98 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 861792 + ... + 861888.

Almost surely, 2^83598480 is an apocalyptic number.

83598480 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 83598480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176447040).

83598480 is an abundant number, since it is smaller than the sum of its proper divisors (269295600).

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

83598480 is a wasteful number, since it uses less digits than its factorization.

83598480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 83598480 is about 9143.2204392107. The cubic root of 83598480 is about 437.2529958105.

The spelling of 83598480 in words is "eighty-three million, five hundred ninety-eight thousand, four hundred eighty".