36642540 has 96 divisors (see below), whose sum is σ = 113944320. Its totient is φ = 8723200.

The previous prime is 36642539. The next prime is 36642581. The reversal of 36642540 is 4524663.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 36642498 and 36642507.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38470 + ... + 39410.

It is an arithmetic number, because the mean of its divisors is an integer number (1186920).

Almost surely, 2^36642540 is an apocalyptic number.

36642540 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 36642540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56972160).

36642540 is an abundant number, since it is smaller than the sum of its proper divisors (77301780).

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

36642540 is a wasteful number, since it uses less digits than its factorization.

36642540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 36642540 is about 6053.3081864382. The cubic root of 36642540 is about 332.1456152258.

The spelling of 36642540 in words is "thirty-six million, six hundred forty-two thousand, five hundred forty".