240361020 has 216 divisors, whose sum is σ = 803812464. Its totient is φ = 60279552.

The previous prime is 240361007. The next prime is 240361061. The reversal of 240361020 is 20163042.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 240360984 and 240361002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1754392 + ... + 1754528.

It is an arithmetic number, because the mean of its divisors is an integer number (3721354).

Almost surely, 2^240361020 is an apocalyptic number.

240361020 is a gapful number since it is divisible by the number (20) 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 240361020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401906232).

240361020 is an abundant number, since it is smaller than the sum of its proper divisors (563451444).

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

240361020 is a wasteful number, since it uses less digits than its factorization.

240361020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 240361020 is about 15503.5808766878. The cubic root of 240361020 is about 621.7579487111.

The spelling of 240361020 in words is "two hundred forty million, three hundred sixty-one thousand, twenty".