87690720 has 288 divisors, whose sum is σ = 318753792. Its totient is φ = 20207616.

The previous prime is 87690679. The next prime is 87690749. The reversal of 87690720 is 2709678.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1865737 + ... + 1865783.

It is an arithmetic number, because the mean of its divisors is an integer number (1106784).

Almost surely, 2^87690720 is an apocalyptic number.

87690720 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 87690720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159376896).

87690720 is an abundant number, since it is smaller than the sum of its proper divisors (231063072).

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

87690720 is a wasteful number, since it uses less digits than its factorization.

87690720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 87690720 is about 9364.3323307110. The cubic root of 87690720 is about 444.2743211853.

It can be divided in two parts, 87690 and 720, that added together give a triangular number (88410 = T₄₂₀).

The spelling of 87690720 in words is "eighty-seven million, six hundred ninety thousand, seven hundred twenty".