35706420 has 168 divisors, whose sum is σ = 117519360. Its totient is φ = 9097920.

The previous prime is 35706403. The next prime is 35706421. The reversal of 35706420 is 2460753.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35706421) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 451941 + ... + 452019.

It is an arithmetic number, because the mean of its divisors is an integer number (699520).

Almost surely, 2^35706420 is an apocalyptic number.

35706420 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 35706420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58759680).

35706420 is an abundant number, since it is smaller than the sum of its proper divisors (81812940).

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

35706420 is a wasteful number, since it uses less digits than its factorization.

35706420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 35706420 is about 5975.4849175611. The cubic root of 35706420 is about 329.2926999794.

The spelling of 35706420 in words is "thirty-five million, seven hundred six thousand, four hundred twenty".