87505649 has 16 divisors (see below), whose sum is σ = 109745280. Its totient is φ = 67781760.

The previous prime is 87505633. The next prime is 87505657. The reversal of 87505649 is 94650578.

It is a cyclic number.

It is not a de Polignac number, because 87505649 - 2⁴ = 87505633 is a prime.

It is a super-2 number, since 2×87505649² = 15314477213822402, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87505609) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10037 + ... + 16605.

It is an arithmetic number, because the mean of its divisors is an integer number (6859080).

Almost surely, 2^87505649 is an apocalyptic number.

It is an amenable number.

87505649 is a deficient number, since it is larger than the sum of its proper divisors (22239631).

87505649 is a wasteful number, since it uses less digits than its factorization.

87505649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6760.

The product of its (nonzero) digits is 302400, while the sum is 44.

The square root of 87505649 is about 9354.4454138126. The cubic root of 87505649 is about 443.9615545128.

Subtracting 87505649 from its reverse (94650578), we obtain a square (7144929 = 2673²).

The spelling of 87505649 in words is "eighty-seven million, five hundred five thousand, six hundred forty-nine".