87674400 has 432 divisors, whose sum is σ = 358289568. Its totient is φ = 20736000.

The previous prime is 87674393. The next prime is 87674407. The reversal of 87674400 is 447678.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (87674393) and next prime (87674407).

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87674407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2138380 + ... + 2138420.

It is an arithmetic number, because the mean of its divisors is an integer number (829374).

Almost surely, 2^87674400 is an apocalyptic number.

87674400 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 87674400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179144784).

87674400 is an abundant number, since it is smaller than the sum of its proper divisors (270615168).

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

87674400 is a wasteful number, since it uses less digits than its factorization.

87674400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 87674400 is about 9363.4608986208. The cubic root of 87674400 is about 444.2467583798.

The spelling of 87674400 in words is "eighty-seven million, six hundred seventy-four thousand, four hundred".