368964540 has 144 divisors (see below), whose sum is σ = 1291949568. Its totient is φ = 83486592.

The previous prime is 368964527. The next prime is 368964581. The reversal of 368964540 is 45469863.

It is a super-2 number, since 2×368964540² = 272269663554823200, 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128359 + ... + 131201.

It is an arithmetic number, because the mean of its divisors is an integer number (8971872).

Almost surely, 2^368964540 is an apocalyptic number.

368964540 is a gapful number since it is divisible by the number (30) 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 368964540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645974784).

368964540 is an abundant number, since it is smaller than the sum of its proper divisors (922985028).

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

368964540 is a wasteful number, since it uses less digits than its factorization.

368964540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2968 (or 2963 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 368964540 is about 19208.4497031905. The cubic root of 368964540 is about 717.2351136885.

The spelling of 368964540 in words is "three hundred sixty-eight million, nine hundred sixty-four thousand, five hundred forty".