36642840 has 128 divisors (see below), whose sum is σ = 120234240. Its totient is φ = 8879616.

The previous prime is 36642833. The next prime is 36642847. The reversal of 36642840 is 4824663.

It is an interprime number because it is at equal distance from previous prime (36642833) and next prime (36642847).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36642847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129339 + ... + 129621.

It is an arithmetic number, because the mean of its divisors is an integer number (939330).

Almost surely, 2^36642840 is an apocalyptic number.

36642840 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 36642840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60117120).

36642840 is an abundant number, since it is smaller than the sum of its proper divisors (83591400).

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

36642840 is a wasteful number, since it uses less digits than its factorization.

36642840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 36642840 is about 6053.3329662261. The cubic root of 36642840 is about 332.1465216714.

The spelling of 36642840 in words is "thirty-six million, six hundred forty-two thousand, eight hundred forty".