87695146 has 128 divisors (see below), whose sum is σ = 191600640. Its totient is φ = 29030400.

The previous prime is 87695117. The next prime is 87695149. The reversal of 87695146 is 64159678.

87695146 is a nontrivial binomial coefficient, being equal to C(13244, 2).

It is a super-2 number, since 2×87695146² = 15380877263922632, which contains 22 as substring.

Its product of digits (362880) is a multiple of the sum of its prime divisors (140).

It is a junction number, because it is equal to n+sod(n) for n = 87695096 and 87695105.

It is not an unprimeable number, because it can be changed into a prime (87695149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2039401 + ... + 2039443.

It is an arithmetic number, because the mean of its divisors is an integer number (1496880).

Almost surely, 2^87695146 is an apocalyptic number.

87695146 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

87695146 is the 13243-rd triangular number and also the 6622-nd hexagonal number.

87695146 is the 4415-th centered nonagonal number.

87695146 is an abundant number, since it is smaller than the sum of its proper divisors (103905494).

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

87695146 is a wasteful number, since it uses less digits than its factorization.

87695146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140.

The product of its digits is 362880, while the sum is 46.

The square root of 87695146 is about 9364.5686499699. The cubic root of 87695146 is about 444.2817956556.

The spelling of 87695146 in words is "eighty-seven million, six hundred ninety-five thousand, one hundred forty-six".