36761040 has 240 divisors, whose sum is σ = 134324736. Its totient is φ = 9331200.

The previous prime is 36760981. The next prime is 36761057. The reversal of 36761040 is 4016763.

36761040 is a `hidden beast` number, since 3 + 6 + 7 + 610 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 36760995 and 36761013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 602610 + ... + 602670.

Almost surely, 2^36761040 is an apocalyptic number.

36761040 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 36761040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67162368).

36761040 is an abundant number, since it is smaller than the sum of its proper divisors (97563696).

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

36761040 is a wasteful number, since it uses less digits than its factorization.

36761040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 36761040 is about 6063.0883219693. The cubic root of 36761040 is about 332.5032769572.

The spelling of 36761040 in words is "thirty-six million, seven hundred sixty-one thousand, forty".