87291000 has 256 divisors, whose sum is σ = 313372800. Its totient is φ = 22464000.

The previous prime is 87290993. The next prime is 87291007. The reversal of 87291000 is 19278.

It is an interprime number because it is at equal distance from previous prime (87290993) and next prime (87291007).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87291007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1430970 + ... + 1431030.

Almost surely, 2^87291000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87291000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156686400).

87291000 is an abundant number, since it is smaller than the sum of its proper divisors (226081800).

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

87291000 is a wasteful number, since it uses less digits than its factorization.

87291000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 87291000 is about 9342.9652680506. The cubic root of 87291000 is about 443.5982487125.

The spelling of 87291000 in words is "eighty-seven million, two hundred ninety-one thousand".