1601363640 has 64 divisors (see below), whose sum is σ = 4806748800. Its totient is φ = 426794112.

The previous prime is 1601363639. The next prime is 1601363641. The reversal of 1601363640 is 463631061.

It is an interprime number because it is at equal distance from previous prime (1601363639) and next prime (1601363641).

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 = 1601363598 and 1601363607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1601363641) 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, 377451 + ... + 381669.

It is an arithmetic number, because the mean of its divisors is an integer number (75105450).

Almost surely, 2^1601363640 is an apocalyptic number.

1601363640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1601363640 is an abundant number, since it is smaller than the sum of its proper divisors (3205385160).

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

1601363640 is a wasteful number, since it uses less digits than its factorization.

1601363640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7396 (or 7392 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 1601363640 is about 40017.0418696835. The cubic root of 1601363640 is about 1169.9392765621.

The spelling of 1601363640 in words is "one billion, six hundred one million, three hundred sixty-three thousand, six hundred forty".