87935400 has 216 divisors, whose sum is σ = 343875870. Its totient is φ = 20079360.

The previous prime is 87935399. The next prime is 87935443. The reversal of 87935400 is 453978.

It can be written as a sum of positive squares in 3 ways, for example, as 78535044 + 9400356 = 8862^2 + 3066^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 87702 + ... + 88698.

Almost surely, 2^87935400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87935400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171937935).

87935400 is an abundant number, since it is smaller than the sum of its proper divisors (255940470).

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

87935400 is a wasteful number, since it uses less digits than its factorization.

87935400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 87935400 is about 9377.3876959418. The cubic root of 87935400 is about 444.6871512324.

The spelling of 87935400 in words is "eighty-seven million, nine hundred thirty-five thousand, four hundred".