87269760 has 192 divisors, whose sum is σ = 306306000. Its totient is φ = 22892544.

The previous prime is 87269759. The next prime is 87269761. The reversal of 87269760 is 6796278.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (87269759) and next prime (87269761).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×87269760² = 15232022020915200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87269761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 627771 + ... + 627909.

Almost surely, 2^87269760 is an apocalyptic number.

87269760 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 87269760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153153000).

87269760 is an abundant number, since it is smaller than the sum of its proper divisors (219036240).

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

87269760 is a wasteful number, since it uses less digits than its factorization.

87269760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 87269760 is about 9341.8285148037. The cubic root of 87269760 is about 443.5622664192.

The spelling of 87269760 in words is "eighty-seven million, two hundred sixty-nine thousand, seven hundred sixty".