87506720 has 192 divisors, whose sum is σ = 255467520. Its totient is φ = 27675648.

The previous prime is 87506663. The next prime is 87506729. The reversal of 87506720 is 2760578.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87506729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1107641 + ... + 1107719.

It is an arithmetic number, because the mean of its divisors is an integer number (1330560).

Almost surely, 2^87506720 is an apocalyptic number.

87506720 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 87506720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127733760).

87506720 is an abundant number, since it is smaller than the sum of its proper divisors (167960800).

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

87506720 is a wasteful number, since it uses less digits than its factorization.

87506720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 87506720 is about 9354.5026591476. The cubic root of 87506720 is about 443.9633657516.

The spelling of 87506720 in words is "eighty-seven million, five hundred six thousand, seven hundred twenty".