87354800 has 120 divisors (see below), whose sum is σ = 229579056. Its totient is φ = 31749120.

The previous prime is 87354769. The next prime is 87354809. The reversal of 87354800 is 845378.

It is a super-2 number, since 2×87354800² = 15261722166080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87354809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 556322 + ... + 556478.

Almost surely, 2^87354800 is an apocalyptic number.

87354800 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 87354800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114789528).

87354800 is an abundant number, since it is smaller than the sum of its proper divisors (142224256).

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

87354800 is a wasteful number, since it uses less digits than its factorization.

87354800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 87354800 is about 9346.3789779786. The cubic root of 87354800 is about 443.7062960331.

The spelling of 87354800 in words is "eighty-seven million, three hundred fifty-four thousand, eight hundred".