36263040 has 256 divisors, whose sum is σ = 134835840. Its totient is φ = 8192000.

The previous prime is 36263033. The next prime is 36263041. The reversal of 36263040 is 4036263.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 36263040.

It is not an unprimeable number, because it can be changed into a prime (36263041) 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, 358990 + ... + 359090.

Almost surely, 2^36263040 is an apocalyptic number.

36263040 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 36263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67417920).

36263040 is an abundant number, since it is smaller than the sum of its proper divisors (98572800).

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

36263040 is a wasteful number, since it uses less digits than its factorization.

36263040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 36263040 is about 6021.8801050835. The cubic root of 36263040 is about 330.9949768468.

It can be divided in two parts, 3626 and 3040, that added together give a palindrome (6666).

The spelling of 36263040 in words is "thirty-six million, two hundred sixty-three thousand, forty".