36968040 has 96 divisors (see below), whose sum is σ = 124324200. Its totient is φ = 9515520.

The previous prime is 36968021. The next prime is 36968059. The reversal of 36968040 is 4086963.

It is an interprime number because it is at equal distance from previous prime (36968021) and next prime (36968059).

It can be written as a sum of positive squares in 4 ways, for example, as 28708164 + 8259876 = 5358^2 + 2874^2 .

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 = 36967986 and 36968004.

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, 8670 + ... + 12210.

Almost surely, 2^36968040 is an apocalyptic number.

36968040 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 36968040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62162100).

36968040 is an abundant number, since it is smaller than the sum of its proper divisors (87356160).

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

36968040 is a wasteful number, since it uses less digits than its factorization.

36968040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3587 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 36968040 is about 6080.1348669252. The cubic root of 36968040 is about 333.1262135531.

The spelling of 36968040 in words is "thirty-six million, nine hundred sixty-eight thousand, forty".