87494400 has 486 divisors, whose sum is σ = 375621792. Its totient is φ = 19353600.

The previous prime is 87494389. The next prime is 87494417. The reversal of 87494400 is 449478.

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 (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2822385 + ... + 2822415.

Almost surely, 2^87494400 is an apocalyptic number.

87494400 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 87494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187810896).

87494400 is an abundant number, since it is smaller than the sum of its proper divisors (288127392).

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

87494400 is a wasteful number, since it uses less digits than its factorization.

87494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 48 counting only the distinct ones).

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

The square root of 87494400 is about 9353.8441295544. The cubic root of 87494400 is about 443.9425296932.

The spelling of 87494400 in words is "eighty-seven million, four hundred ninety-four thousand, four hundred".