87242904 has 192 divisors, whose sum is σ = 287539200. Its totient is φ = 23369472.

The previous prime is 87242899. The next prime is 87242917. The reversal of 87242904 is 40924278.

It is a super-2 number, since 2×87242904² = 15222648596706432, which contains 22 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 686889 + ... + 687015.

It is an arithmetic number, because the mean of its divisors is an integer number (1497600).

Almost surely, 2^87242904 is an apocalyptic number.

87242904 is a gapful number since it is divisible by the number (84) 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 87242904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143769600).

87242904 is an abundant number, since it is smaller than the sum of its proper divisors (200296296).

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

87242904 is a wasteful number, since it uses less digits than its factorization.

87242904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 87242904 is about 9340.3909982398. The cubic root of 87242904 is about 443.5167618046.

It can be divided in two parts, 8724 and 2904, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 87242904 in words is "eighty-seven million, two hundred forty-two thousand, nine hundred four".