862560 has 72 divisors (see below), whose sum is σ = 2948400. Its totient is φ = 229632.

The previous prime is 862559. The next prime is 862567. The reversal of 862560 is 65268.

862560 = T₁₃ + T₁₄ + ... + T₁₇₂.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (862567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1141 + ... + 1739.

It is an arithmetic number, because the mean of its divisors is an integer number (40950).

2⁸⁶²⁵⁶⁰ is an apocalyptic number.

862560 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 862560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474200).

862560 is an abundant number, since it is smaller than the sum of its proper divisors (2085840).

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

862560 is a wasteful number, since it uses less digits than its factorization.

862560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 862560 is about 928.7410834027. The cubic root of 862560 is about 95.1911203261.

The spelling of 862560 in words is "eight hundred sixty-two thousand, five hundred sixty".