36672840 has 48 divisors (see below), whose sum is σ = 119187900. Its totient is φ = 9779328.

The previous prime is 36672829. The next prime is 36672847. The reversal of 36672840 is 4827663.

It can be written as a sum of positive squares in 2 ways, for example, as 35070084 + 1602756 = 5922^2 + 1266^2 .

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 = 36672795 and 36672804.

It is not an unprimeable number, because it can be changed into a prime (36672847) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50575 + ... + 51294.

Almost surely, 2^36672840 is an apocalyptic number.

36672840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36672840 is an abundant number, since it is smaller than the sum of its proper divisors (82515060).

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

36672840 is a wasteful number, since it uses less digits than its factorization.

36672840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101886 (or 101879 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 36672840 is about 6055.8104329644. The cubic root of 36672840 is about 332.2371412627.

The spelling of 36672840 in words is "thirty-six million, six hundred seventy-two thousand, eight hundred forty".