36858240 has 224 divisors, whose sum is σ = 133783200. Its totient is φ = 9704448.

The previous prime is 36858229. The next prime is 36858257. The reversal of 36858240 is 4285863.

36858240 is a `hidden beast` number, since 36 + 8 + 582 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36858195 and 36858204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 466521 + ... + 466599.

Almost surely, 2^36858240 is an apocalyptic number.

36858240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

36858240 is the 3840-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36858240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66891600).

36858240 is an abundant number, since it is smaller than the sum of its proper divisors (96924960).

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

36858240 is an frugal number, since it uses more digits than its factorization.

36858240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 36858240 is about 6071.0987473438. The cubic root of 36858240 is about 332.7960767536.

The spelling of 36858240 in words is "thirty-six million, eight hundred fifty-eight thousand, two hundred forty".