36032640 has 192 divisors, whose sum is σ = 133954560. Its totient is φ = 8214528.

The previous prime is 36032627. The next prime is 36032663. The reversal of 36032640 is 4623063.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×36032640² = 2596702290739200, which contains 22 as substring.

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 36032640.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93889 + ... + 94271.

It is an arithmetic number, because the mean of its divisors is an integer number (697680).

Almost surely, 2^36032640 is an apocalyptic number.

36032640 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 36032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66977280).

36032640 is an abundant number, since it is smaller than the sum of its proper divisors (97921920).

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

36032640 is a wasteful number, since it uses less digits than its factorization.

36032640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 400 counting only the distinct ones).

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

The square root of 36032640 is about 6002.7193837460. The cubic root of 36032640 is about 330.2924863245.

The spelling of 36032640 in words is "thirty-six million, thirty-two thousand, six hundred forty".