213935904 has 240 divisors, whose sum is σ = 775228608. Its totient is φ = 56360448.

The previous prime is 213935881. The next prime is 213935927. The reversal of 213935904 is 409539312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (213935881) and next prime (213935927).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 235419 + ... + 236325.

Almost surely, 2^213935904 is an apocalyptic number.

213935904 is a gapful number since it is divisible by the number (24) 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 213935904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387614304).

213935904 is an abundant number, since it is smaller than the sum of its proper divisors (561292704).

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

213935904 is a wasteful number, since it uses less digits than its factorization.

213935904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 213935904 is about 14626.5479180837. The cubic root of 213935904 is about 598.0826796641.

The spelling of 213935904 in words is "two hundred thirteen million, nine hundred thirty-five thousand, nine hundred four".