36923040 has 480 divisors, whose sum is σ = 166852224. Its totient is φ = 7464960.

The previous prime is 36923039. The next prime is 36923041. The reversal of 36923040 is 4032963.

It is an interprime number because it is at equal distance from previous prime (36923039) and next prime (36923041).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 36922995 and 36923013.

It is not an unprimeable number, because it can be changed into a prime (36923041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 997902 + ... + 997938.

Almost surely, 2^36923040 is an apocalyptic number.

36923040 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 36923040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83426112).

36923040 is an abundant number, since it is smaller than the sum of its proper divisors (129929184).

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

36923040 is a wasteful number, since it uses less digits than its factorization.

36923040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 36923040 is about 6076.4331642831. The cubic root of 36923040 is about 332.9909907472.

It can be divided in two parts, 369 and 23040, that added together give a square (23409 = 153²).

The spelling of 36923040 in words is "thirty-six million, nine hundred twenty-three thousand, forty".