87289440 has 192 divisors, whose sum is σ = 319044096. Its totient is φ = 19648512.

The previous prime is 87289429. The next prime is 87289493. The reversal of 87289440 is 4498278.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 87289392 and 87289401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278724 + ... + 279036.

It is an arithmetic number, because the mean of its divisors is an integer number (1661688).

Almost surely, 2^87289440 is an apocalyptic number.

87289440 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 87289440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159522048).

87289440 is an abundant number, since it is smaller than the sum of its proper divisors (231754656).

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

87289440 is a wasteful number, since it uses less digits than its factorization.

87289440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 87289440 is about 9342.8817824053. The cubic root of 87289440 is about 443.5956061439.

The spelling of 87289440 in words is "eighty-seven million, two hundred eighty-nine thousand, four hundred forty".