83387520 has 192 divisors, whose sum is σ = 297872640. Its totient is φ = 21473280.

The previous prime is 83387509. The next prime is 83387543. The reversal of 83387520 is 2578338.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 178327 + ... + 178793.

It is an arithmetic number, because the mean of its divisors is an integer number (1551420).

Almost surely, 2^83387520 is an apocalyptic number.

83387520 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 83387520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148936320).

83387520 is an abundant number, since it is smaller than the sum of its proper divisors (214485120).

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

83387520 is a wasteful number, since it uses less digits than its factorization.

83387520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 83387520 is about 9131.6767354085. The cubic root of 83387520 is about 436.8848846824.

The spelling of 83387520 in words is "eighty-three million, three hundred eighty-seven thousand, five hundred twenty".