87454080 has 320 divisors, whose sum is σ = 358411680. Its totient is φ = 19906560.

The previous prime is 87454061. The next prime is 87454091. The reversal of 87454080 is 8045478.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×87454080² = 15296432217292800, 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 362760 + ... + 363000.

Almost surely, 2^87454080 is an apocalyptic number.

87454080 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 87454080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179205840).

87454080 is an abundant number, since it is smaller than the sum of its proper divisors (270957600).

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

87454080 is a wasteful number, since it uses less digits than its factorization.

87454080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 87454080 is about 9351.6886175706. The cubic root of 87454080 is about 443.8743252783.

The spelling of 87454080 in words is "eighty-seven million, four hundred fifty-four thousand, eighty".