36970560 has 224 divisors, whose sum is σ = 142646400. Its totient is φ = 8939520.

The previous prime is 36970547. The next prime is 36970567. The reversal of 36970560 is 6507963.

It is a happy number.

36970560 is a `hidden beast` number, since 3 + 6 + 97 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (36970567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94846 + ... + 95234.

Almost surely, 2^36970560 is an apocalyptic number.

36970560 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 36970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71323200).

36970560 is an abundant number, since it is smaller than the sum of its proper divisors (105675840).

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

36970560 is a wasteful number, since it uses less digits than its factorization.

36970560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 36970560 is about 6080.3420956390. The cubic root of 36970560 is about 333.1337827848.

The spelling of 36970560 in words is "thirty-six million, nine hundred seventy thousand, five hundred sixty".