87354720 has 192 divisors, whose sum is σ = 311048640. Its totient is φ = 22892544.

The previous prime is 87354691. The next prime is 87354731. The reversal of 87354720 is 2745378.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315222 + ... + 315498.

It is an arithmetic number, because the mean of its divisors is an integer number (1620045).

Almost surely, 2^87354720 is an apocalyptic number.

87354720 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 87354720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155524320).

87354720 is an abundant number, since it is smaller than the sum of its proper divisors (223693920).

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

87354720 is a wasteful number, since it uses less digits than its factorization.

87354720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 87354720 is about 9346.3746982453. The cubic root of 87354720 is about 443.7061605835.

The spelling of 87354720 in words is "eighty-seven million, three hundred fifty-four thousand, seven hundred twenty".