46604640 has 96 divisors (see below), whose sum is σ = 148006656. Its totient is φ = 12326400.

The previous prime is 46604639. The next prime is 46604641. The reversal of 46604640 is 4640664.

It is an interprime number because it is at equal distance from previous prime (46604639) and next prime (46604641).

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 46604598 and 46604607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46604641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72159 + ... + 72801.

It is an arithmetic number, because the mean of its divisors is an integer number (1541736).

Almost surely, 2^46604640 is an apocalyptic number.

46604640 is a gapful number since it is divisible by the number (40) 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 46604640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74003328).

46604640 is an abundant number, since it is smaller than the sum of its proper divisors (101402016).

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

46604640 is a wasteful number, since it uses less digits than its factorization.

46604640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 46604640 is about 6826.7591139574. The cubic root of 46604640 is about 359.8678527324.

The spelling of 46604640 in words is "forty-six million, six hundred four thousand, six hundred forty".