842497560 has 384 divisors, whose sum is σ = 3093292800. Its totient is φ = 197836800.

The previous prime is 842497547. The next prime is 842497583. The reversal of 842497560 is 65794248.

It is a happy number.

842497560 is a `hidden beast` number, since 8 + 42 + 49 + 7 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8341510 + ... + 8341610.

It is an arithmetic number, because the mean of its divisors is an integer number (8055450).

Almost surely, 2^842497560 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 842497560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546646400).

842497560 is an abundant number, since it is smaller than the sum of its proper divisors (2250795240).

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

842497560 is a wasteful number, since it uses less digits than its factorization.

842497560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 842497560 is about 29025.8085158708. The cubic root of 842497560 is about 944.4730075893.

It can be divided in two parts, 84249 and 7560, that added together give a square (91809 = 303²).

The spelling of 842497560 in words is "eight hundred forty-two million, four hundred ninety-seven thousand, five hundred sixty".